Answer
x=0
y=-2
(0,-2)
Work Step by Step
$\frac{x}{8}-\frac{y}{2}=1$
$\frac{x}{3}-y=2$
Use substitution to solve for x and y.
Isolate x on one side of the equation.
$\frac{x}{8}-\frac{y}{2}=1\longrightarrow$ Mutiply both sides by 8 to eliminate fractions.
$8(\frac{x}{8}-\frac{y}{2})=8(1)\longrightarrow$ Apply the distributive property.
$\frac{8x}{8}-\frac{8y}{2}=8\longrightarrow$ Simplify.
$x-4y=8\longrightarrow$ Add 4y to both sides.
$x-4y+4y=8+4y\longrightarrow$ Simplify.
$x=8+4y$
Substitute for x in the second equation and solve for y.
$\frac{8+4y}{3}-y=2\longrightarrow$ Multiply both sides by 3.
$3(\frac{8+4y}{3}-y)=3(2)\longrightarrow$ Apply the distributive property.
$3(\frac{8+4y}{3})-3y=6\longrightarrow$ Simplify.
$8+4y-3y=6\longrightarrow$ Simplify.
$8+y=6\longrightarrow$ Subtract 8 from both sides.
$8+y-8=6-8$ Simplify.
$y=-2$
Substitute for y and solve for x.
$\frac{x}{3}-(-2)=2\longrightarrow$ Simplify.
$\frac{x}{3}+2=2\longrightarrow$ Subtract 2 from both sides.
$\frac{x}{3}+2-2=2-2\longrightarrow$ Simplify.
$\frac{x}{3}=0\longrightarrow$ Multiply both sides by 3.
$\frac{x}{3}\times3=0\times3\longrightarrow$ Simplify.
$x=0$
