Question

Solve the two simultaneous equations.

You must show all your working.
3t+2p=15.5
5t+4p=28.5

Answer 1

Given equations are,

5x+2y=−2 (1)

3x−5y=17.4 (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10 (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8 (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Explanation: