Answer
$x = -15$
$y = -22$
Work Step by Step
To solve a system of equations using substitution, we plug in an expression in place of a variable.
In this system of equations, $x$ is expressed in terms of $y$ in one equation. We can use this equation to substitute for $x$ in the other equation:
$y - 8 = 2(y + 7)$
Use the distributive property on the left side of the equation:
$y - 8 = 2y + 14$
Add $8$ to each side of the equation to move constants to the right side of the equation:
$y = 2y + 22$
Subtract $2y$ from each side of the equation to move variables to the left side of the equation:
$-y = 22$
Divide each side of the equation by $-1$ to solve for $x$:
$y = -22$
Now that we have the value for $y$, we can substitute it into one of the equations to solve for $x$:
$x = -22 + 7$
Multiply first:
$x = -15$
