Question

How do you solve the system `y=3x-11` and `7x+4y=-6`?

Answer 1

`x=2`
`y=-5`

Explanation:

Given -

`y=3x-11` ---------------(1)
`7x+4y=-6` -------------(2)
Substitute `y=3x-11` in equation (2)

`7x+4(3x-11)=-6`

`7x+12x-44=-6`
`19x=-6+44=38`
`x-38/19=2`

`x=2`

Substitute `x=2` in equation (1)

`y=3(2)-11=6-11=-5`

`y=-5`