Answer
$x = 4$
$y = 2.5$
Work Step by Step
$5x + 8y = 40$
$3x - 10y = -13$
To use elimination, we need to make one of the variables the same in each equation:
$15 + 24y = 120$
$-15x + 50y = 65$
Add the two equations together:
$74y = 185$
Divide each side by $74$ to solve for $y$:
$y = 2.5$
Now that we have the value for $y$, we can plug it into one of the equations to solve for $x$:
$5x + 8(2.5) = 40$
Multiply first:
$5x + 20 = 40$
Subtract $20$ from each side of the equation:
$5x = 20$
Divide each side of the equation by $5$:
$x = 4$
