Answer
(-22,-5)
Work Step by Step
There are two equations that we can use: x=4y-2 and x=6y+8 Since x=4y-2 is already simplified in which one variable is isolated we can substitute this equation into x=6y+8
x=6y+8
4y-2=6y+8
Solve for x. Combine like terms. First subtract 6y from 4y.
4y-2=6y+8
-2y-2=8
Then add 2 to 8.
-2y=10
Then divide by -2 on both sides.
$\frac{-2y}{-2}$=$\frac{10}{-2}$
y=-5
Substitute y=-5 into x=6y+8 to solve for x.
x=6(-5)+8
x=-30+8
x=-22
The ordered pair would then be (-22,-5) since x=-22 and y=-5
