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Kuta Software - Infinite Algebra 1                                                                                                           Name___________________________________

                         Solving Systems of Equations by Elimination                                                                                                                 Date________________ Period____

                         Solve each system by elimination.

                         1) −4 x − 2 y = −12                                                                                                                    2) 4 x + 8 y = 20
                            4 x + 8 y = −24                                                                                                                        −4 x + 2 y = −30




                         3) x − y = 11                                                                                                                          4) −6 x + 5 y = 1
                            2 x + y = 19                                                                                                                           6 x + 4 y = −10




                         5) −2 x − 9 y = −25                                                                                                                    6) 8 x + y = −16
                            −4 x − 9 y = −23                                                                                                                       −3 x + y = −5




                         7) −6 x + 6 y = 6                                                                                                                      8) 7 x + 2 y = 24
                            −6 x + 3 y = −12                                                                                                                       8 x + 2 y = 30




                         9) 5 x + y = 9                                                                                                                         10) −4 x + 9 y = 9
                            10 x − 7 y = −18                                                                                                                        x − 3 y = −6




                         11) −3 x + 7 y = −16                                                                                                                   12) −7 x + y = −19
                             −9 x + 5 y = 16                                                                                                                        −2 x + 3 y = −19




©B O2V0D1c1B lKCuFtiaF DS3ocf4tcw5airqey 2LxLaCu.C t 0AXlllw rrki5gthPtxs2 wr5ebsFeor4vhe2dc.L e MMeaNdAef zw9ibtvhW FIfnYfFizn0iCtAe7 VARl6gzeMb7r0ao Y1h.Q   -1-                                          Worksheet by Kuta Software LLC
13) 16 x − 10 y = 10                                                                                                                   14) 8 x + 14 y = 4
                             −8 x − 6 y = 6                                                                                                                         −6 x − 7 y = −10




                         15) −4 x − 15 y = −17                                                                                                                  16) − x − 7 y = 14
                             − x + 5 y = −13                                                                                                                        −4 x − 14 y = 28




                         17) −7 x − 8 y = 9                                                                                                                     18) 5 x + 4 y = −30
                             −4 x + 9 y = −22                                                                                                                       3 x − 9 y = −18




                         19) −4 x − 2 y = 14                                                                                                                    20) 3 x − 2 y = 2
                             −10 x + 7 y = −25                                                                                                                      5 x − 5 y = 10




                         21) 5 x + 4 y = −14                                                                                                                    22) 2 x + 8 y = 6
                             3x + 6 y = 6                                                                                                                           −5 x − 20 y = −15




                         23) −14 = −20 y − 7 x                                                                                                                  24) 3 + 2 x − y = 0
                             10 y + 4 = 2 x                                                                                                                         −3 − 7 y = 10 x




©N 62U011a1p SKquatbao QSNolfKtkwkaIrmei xLJL2CR.t z DATlplh 8rDiugZhEtIs6 nrueDsPeHrbvyekd4.t G gMoa2dve2 gwgietohS VIznJfciQnZiDtBeO zATlIgWeGbKrDan f1t.A   -2-                      Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1                                                                                                           Name___________________________________

                         Solving Systems of Equations by Elimination                                                                                                                 Date________________ Period____

                         Solve each system by elimination.

                         1) −4 x − 2 y = −12                                                                                                                    2) 4 x + 8 y = 20
                            4 x + 8 y = −24                                                                                                                        −4 x + 2 y = −30
                                        (6, −6)                                                                                                                      (7, −1)



                         3) x − y = 11                                                                                                                          4) −6 x + 5 y = 1
                            2 x + y = 19                                                                                                                           6 x + 4 y = −10
                                        (10, −1)                                                                                                                     (−1, −1)



                         5) −2 x − 9 y = −25                                                                                                                    6) 8 x + y = −16
                            −4 x − 9 y = −23                                                                                                                       −3 x + y = −5
                                        (−1, 3)                                                                                                                      (−1, −8)



                         7) −6 x + 6 y = 6                                                                                                                      8) 7 x + 2 y = 24
                            −6 x + 3 y = −12                                                                                                                       8 x + 2 y = 30
                                        (5, 6)                                                                                                                       (6, −9)



                         9) 5 x + y = 9                                                                                                                         10) −4 x + 9 y = 9
                            10 x − 7 y = −18                                                                                                                        x − 3 y = −6
                                        (1, 4)                                                                                                                       (9, 5)



                         11) −3 x + 7 y = −16                                                                                                                   12) −7 x + y = −19
                             −9 x + 5 y = 16                                                                                                                        −2 x + 3 y = −19
                                        (−4, −4)                                                                                                                     (2, −5)




©N Y2n0F1Y1k eKIuCtOap 9SgolfBtywXamrXep KL6L4C7.s C qAtlylk xrsi9gThatLs5 Kr0eEsTe5rvvsevdg.u B RMJa8dten EwMiAtyhX nIpnOfui6n4iStce0 3ARlqgRe4bQr7aE x1A.7   -1-                                          Worksheet by Kuta Software LLC
13) 16 x − 10 y = 10                                                                                                                    14) 8 x + 14 y = 4
                            −8 x − 6 y = 6                                                                                                                          −6 x − 7 y = −10
                                        (0, −1)                                                                                                                      (4, −2)



                        15) −4 x − 15 y = −17                                                                                                                   16) − x − 7 y = 14
                            − x + 5 y = −13                                                                                                                         −4 x − 14 y = 28
                                        (8, −1)                                                                                                                      (0, −2)



                        17) −7 x − 8 y = 9                                                                                                                      18) 5 x + 4 y = −30
                            −4 x + 9 y = −22                                                                                                                        3 x − 9 y = −18
                                        (1, −2)                                                                                                                      (−6, 0)




                        19) −4 x − 2 y = 14                                                                                                                     20) 3 x − 2 y = 2
                            −10 x + 7 y = −25                                                                                                                       5 x − 5 y = 10
                                        (−1, −5)                                                                                                                     (−2, −4)




                        21) 5 x + 4 y = −14                                                                                                                     22) 2 x + 8 y = 6
                            3x + 6 y = 6                                                                                                                            −5 x − 20 y = −15
                                        (−6, 4)                                                                                                                      Infinite number of solutions




                        23) −14 = −20 y − 7 x                                                                                                                   24) 3 + 2 x − y = 0
                            10 y + 4 = 2 x                                                                                                                          −3 − 7 y = 10 x
                                        (2, 0)                                                                                                                       (−1, 1)




                                         Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com


©1 Z2M0C1l1u eKhuttxaz jS2oefqtHwVakr5eC NLALOCP.B l sAZlglM vr3iAgehdt0sD MrqeQsceirHvHeOdm.G E YMoaHdseQ 0wBibtDhJ AINnefFionniftge4 WAAlngAeWbjrzas g12.o   -2-                                  Worksheet by Kuta Software LLC

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Systems%20of%20 equations%20elimination

  • 1. Kuta Software - Infinite Algebra 1 Name___________________________________ Solving Systems of Equations by Elimination Date________________ Period____ Solve each system by elimination. 1) −4 x − 2 y = −12 2) 4 x + 8 y = 20 4 x + 8 y = −24 −4 x + 2 y = −30 3) x − y = 11 4) −6 x + 5 y = 1 2 x + y = 19 6 x + 4 y = −10 5) −2 x − 9 y = −25 6) 8 x + y = −16 −4 x − 9 y = −23 −3 x + y = −5 7) −6 x + 6 y = 6 8) 7 x + 2 y = 24 −6 x + 3 y = −12 8 x + 2 y = 30 9) 5 x + y = 9 10) −4 x + 9 y = 9 10 x − 7 y = −18 x − 3 y = −6 11) −3 x + 7 y = −16 12) −7 x + y = −19 −9 x + 5 y = 16 −2 x + 3 y = −19 ©B O2V0D1c1B lKCuFtiaF DS3ocf4tcw5airqey 2LxLaCu.C t 0AXlllw rrki5gthPtxs2 wr5ebsFeor4vhe2dc.L e MMeaNdAef zw9ibtvhW FIfnYfFizn0iCtAe7 VARl6gzeMb7r0ao Y1h.Q -1- Worksheet by Kuta Software LLC
  • 2. 13) 16 x − 10 y = 10 14) 8 x + 14 y = 4 −8 x − 6 y = 6 −6 x − 7 y = −10 15) −4 x − 15 y = −17 16) − x − 7 y = 14 − x + 5 y = −13 −4 x − 14 y = 28 17) −7 x − 8 y = 9 18) 5 x + 4 y = −30 −4 x + 9 y = −22 3 x − 9 y = −18 19) −4 x − 2 y = 14 20) 3 x − 2 y = 2 −10 x + 7 y = −25 5 x − 5 y = 10 21) 5 x + 4 y = −14 22) 2 x + 8 y = 6 3x + 6 y = 6 −5 x − 20 y = −15 23) −14 = −20 y − 7 x 24) 3 + 2 x − y = 0 10 y + 4 = 2 x −3 − 7 y = 10 x ©N 62U011a1p SKquatbao QSNolfKtkwkaIrmei xLJL2CR.t z DATlplh 8rDiugZhEtIs6 nrueDsPeHrbvyekd4.t G gMoa2dve2 gwgietohS VIznJfciQnZiDtBeO zATlIgWeGbKrDan f1t.A -2- Worksheet by Kuta Software LLC
  • 3. Kuta Software - Infinite Algebra 1 Name___________________________________ Solving Systems of Equations by Elimination Date________________ Period____ Solve each system by elimination. 1) −4 x − 2 y = −12 2) 4 x + 8 y = 20 4 x + 8 y = −24 −4 x + 2 y = −30 (6, −6) (7, −1) 3) x − y = 11 4) −6 x + 5 y = 1 2 x + y = 19 6 x + 4 y = −10 (10, −1) (−1, −1) 5) −2 x − 9 y = −25 6) 8 x + y = −16 −4 x − 9 y = −23 −3 x + y = −5 (−1, 3) (−1, −8) 7) −6 x + 6 y = 6 8) 7 x + 2 y = 24 −6 x + 3 y = −12 8 x + 2 y = 30 (5, 6) (6, −9) 9) 5 x + y = 9 10) −4 x + 9 y = 9 10 x − 7 y = −18 x − 3 y = −6 (1, 4) (9, 5) 11) −3 x + 7 y = −16 12) −7 x + y = −19 −9 x + 5 y = 16 −2 x + 3 y = −19 (−4, −4) (2, −5) ©N Y2n0F1Y1k eKIuCtOap 9SgolfBtywXamrXep KL6L4C7.s C qAtlylk xrsi9gThatLs5 Kr0eEsTe5rvvsevdg.u B RMJa8dten EwMiAtyhX nIpnOfui6n4iStce0 3ARlqgRe4bQr7aE x1A.7 -1- Worksheet by Kuta Software LLC
  • 4. 13) 16 x − 10 y = 10 14) 8 x + 14 y = 4 −8 x − 6 y = 6 −6 x − 7 y = −10 (0, −1) (4, −2) 15) −4 x − 15 y = −17 16) − x − 7 y = 14 − x + 5 y = −13 −4 x − 14 y = 28 (8, −1) (0, −2) 17) −7 x − 8 y = 9 18) 5 x + 4 y = −30 −4 x + 9 y = −22 3 x − 9 y = −18 (1, −2) (−6, 0) 19) −4 x − 2 y = 14 20) 3 x − 2 y = 2 −10 x + 7 y = −25 5 x − 5 y = 10 (−1, −5) (−2, −4) 21) 5 x + 4 y = −14 22) 2 x + 8 y = 6 3x + 6 y = 6 −5 x − 20 y = −15 (−6, 4) Infinite number of solutions 23) −14 = −20 y − 7 x 24) 3 + 2 x − y = 0 10 y + 4 = 2 x −3 − 7 y = 10 x (2, 0) (−1, 1) Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com ©1 Z2M0C1l1u eKhuttxaz jS2oefqtHwVakr5eC NLALOCP.B l sAZlglM vr3iAgehdt0sD MrqeQsceirHvHeOdm.G E YMoaHdseQ 0wBibtDhJ AINnefFionniftge4 WAAlngAeWbjrzas g12.o -2- Worksheet by Kuta Software LLC