Question

Solve the system of equations 3r – 4s = 0 and 2r + 5s = 23

Answer 1

The answer would be (8, -7)

Answer 2

`3r-4s=0`

`3r=4s`

`r=(4)/(3)s`


`2r+5s=23`

`2((4)/(3)s)+5s=23`

`(8)/(3)s+5s=23`

`5(8)/(3)s=23`

`s=3`


`3r-4s=0`

`3r-4(3)=0`

`3r=12`

`r=4`

s=3, r=4

Check:

`2r+5s=23`

`2(4)+5(3)=23`

`8+15=23`

`23=23` CHECK