Question

How do you solve the following linear system: `y - 2x = -6 , 7x - y = 3`?

Answer 1

`(x,y) = (-9/5, -48/5)`

Explanation:

`y=2x-6` solve for y in terms of x
`7x-(2x-6)=3` plug in above equation to y
`7x-2x+12=3` distribute
`5x=-9` isolate
`x=-9/5` solve
`y-2(-9/5)=-6` plug back into original equation
`y+18/5=-6` multiply
`y=-48/5` isolate
`(x,y) = (-9/5, -48/5)`