Answer
$x = 15$
$y = -0.5$
Work Step by Step
$3x + 6y = 42$
$-7x + 8y = -109$
To use elimination, we need to make one of the variables the same in each equation:
$21x + 42y = 294$
$-21x + 24y = -327$
Add the two equations together:
$66y = -33$
Divide each side by $66$ to solve for $y$:
$y = -0.5$
Now that we have the value for $y$, we can plug it into one of the equations to solve for $x$:
$3x + 6(-0.5) = 42$
Multiply first:
$3x - 3 = 42$
Add $3$ to each side of the equation:
$3x = 45$
Divide each side of the equation by $3$:
$x = 15$
