Question

Use substitution to solve the sytem: 5x-3y=-20 and x=3y-16

Answer 1

5(3y-16)-3y = -20
15y-80-3y = -20
12y = 60
y = 5

Answer 2

`5x - 3y = -20`

`x = 3y - 16`

Plug in 'x' into the first equation:


`5 (3y - 16) - 3y = 20`

`15y - 80 - 3y = -20`

`12y = 60`

`y = 5`

Plug in 'y' into the second equation to get 'x':


`x = 3y - 16`

`x = 3(5) - 16`
To get
`x = -1`


`y = 5`

`x = -1`