How do you solve the system using the elimination method for x+16 1/2 = -3/4y and y = 1/2x?

Jul 17, 2015

$x = - 12 , y = - 6$

Explanation:

Multiply the 2nd equation by 2:
$2 y = x$

Subtract this from the first equation to eliminate $x$ and solve for $y$:
$x + 16 \frac{1}{2} - x = - \frac{3}{4} y - 2 y$ => $y = - 6$

Use this value to solve for x in the 2nd equation:
$x = 2 y = - 12$