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Use substitution to solve the system of equations.,[object Object],x = 26 – 4y,[object Object],x = 26 – 4y,[object Object],x = 26 – 4(4),[object Object],x – 5y = -10,[object Object],x = 26 – 16,[object Object],26 – 4y – 5y = -10,[object Object],x = 10,[object Object],26 – 9y = -10,[object Object],– 9y = -36,[object Object],y = 4,[object Object],(      , 4),[object Object],10,[object Object],Example 2-1a,[object Object]
Use substitution to solve the system of equations.,[object Object],x = 3y + 2,[object Object],x = 3(1) + 2,[object Object],x = 3 + 2,[object Object],3y + 2 + 7y = 12,[object Object],x = 5,[object Object],10y + 2 = 12,[object Object],10y = 10,[object Object],y = 1,[object Object],(      , 1),[object Object],5,[object Object],Example 2-1b,[object Object]
Use elimination to solve the system,[object Object],3x + 2y = 9,[object Object],3(1) + 2y = 9,[object Object],3 + 2y = 9,[object Object],2y = 6,[object Object],y = 3,[object Object],3x + 2y = 9,[object Object],  x – 2y = -5,[object Object],4x       = 4,[object Object],4            4,[object Object],x = 1,[object Object],( 1,      )      ,[object Object],3,[object Object],Example 2-2b,[object Object]
Use elimination to solve the system,[object Object], 3,[object Object],2x + 3y = 1,[object Object],2x + 3(1) = 1,[object Object],2x + 3 = 1,[object Object],2x = -2,[object Object],x = -1,[object Object],6x + 9y = 3,[object Object],-6x - 8y = -2,[object Object],2x + 3y = 1,[object Object],3x + 4y = 1,[object Object], -2,[object Object],y = 1,[object Object],(      , 1 )      ,[object Object],-1,[object Object],Example 2-2b,[object Object]
Use elimination to solve the system,[object Object],4x + 2y = 14,[object Object],4(2) + 2y = 14,[object Object],8 + 2y = 14,[object Object],2y = 6,[object Object],y = 3,[object Object],4x + 2y = 14,[object Object],6x -  2y = 6,[object Object],4x + 2y = 14,[object Object],3x -  y = 3,[object Object], 2,[object Object],10x      = 20,[object Object],10         10,[object Object],x = 2,[object Object],( 2 ,     )      ,[object Object],3,[object Object],Example 2-2b,[object Object]
Use the elimination method to solve the system of equations.,[object Object],Multiply by 2.,[object Object],Use multiplication to eliminate x.,[object Object],False statement,[object Object],No solution,[object Object],Lines are parallel,[object Object],Example 2-5a,[object Object]
Use elimination to solve the system,[object Object], -2,[object Object],-8x - 2y = -6,[object Object],8x + 2y = 6,[object Object],4x + y = 3,[object Object],8x + 2y = 6,[object Object],    0      = 0,[object Object],    true statement,[object Object],    lines coincide,[object Object],Infinite solutions,[object Object],{(x,y) | 4x + y = 3},[object Object],Example 2-2b,[object Object]

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Alg2 lesson 3-2

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