Simultaneous Equations Practical Construction

Tools: For now you will need…. ,[object Object],[object Object],[object Object],Context…

Mathematics in Construction and the Built environment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Aims….

Aims for this topic: ,[object Object],[object Object],[object Object],[object Object],Recap….

Simultaneous Equations recap How do you go about solving simultaneous equations?...

A few hints . . . (1)Scale up each term in one, or both equations to make the same number in front of either the x terms or the y terms. (2)Subtract if the signs in front if the signs are the same. (3) Add if the signs in front of the numbers are different. Lets work through the first one together – have your NO MESS handout ready…..

5x + y = 20 2x + y = 11 … (1) … (2) Number the Equations 3x = 9 Subtract (to get rid of a letter) Divide (to find x) x = 3 Substitute in (2) (to find y) 2 x 3 + y = 11 6 + y = 11 y = 5 1 You try the next one…

7x + y = 43 3x + y = 23 … (1) … (2) Number the Equations 4x = 20 Subtract (to get rid of a letter) Divide (to find x) x = 5 Substitute in (2) (to find y) 3 x 5 + y = 23 15 + y = 23 y = 8 2 A nice System….

when using the elimination method to solve equations FOR NO MESS Remember ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Next stage - Form your own…

Forming equations ,[object Object],[object Object],[object Object]

Task 1: Financial Penalty clause ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],How?…

Task 1 Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],You need a Strategy – see NO MESS handout….

Strategy Remember to use the phrase… ,[object Object],-Now lets try one…

Task 2: General Office equipment ,[object Object],[object Object],[object Object]

Task 2: Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Task 3: Office heating: costs ,[object Object],[object Object],[object Object],[object Object]

Task 3: Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Task 4: Plumbing costs ,[object Object],[object Object],[object Object]

Task 4: Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Task 5: Orders-Pricing-inflation ,[object Object],[object Object],[object Object],[object Object],[object Object]

Task 5: Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Task 6: Construction plant ,[object Object],[object Object],[object Object],[object Object],[object Object]

Task 6: Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Simultaneous Equations Practical Construction

Recomendados

Recomendados

Más contenido relacionado

La actualidad más candente

La actualidad más candente (20)

Destacado

Destacado (8)

Similar a Simultaneous Equations Practical Construction

Similar a Simultaneous Equations Practical Construction (20)

Más de Daniel Ross

Más de Daniel Ross (11)

Último

Último (20)

Simultaneous Equations Practical Construction