Answer
x=2.5
y=1.25
(2.5,1.25)
Work Step by Step
$-x+2y=0$
$x+2y=5$
Substitute to solve for x and y.
Isolate x on one side of one of the equations.
$x+2y=5\longrightarrow$ Subtract 2y from both sides.
$x+2y-2y=5-2y\longrightarrow$ Simplify.
$x+5-2y$
Substitute for x in the other equation then solve for y.
$-(5-2y)+2y=0\longrightarrow$ Apply the distributive property.
$-5+2y+2y=0\longrightarrow$ Simplify.
$-5+4y=0\longrightarrow$ Add 5 to both sides.
$-5+4y+5=0+5\longrightarrow$ Simplify.
$4y=5\longrightarrow$ Divide both sides by 4.
$4y\div4=5\div4\longrightarrow$ Simplify.
$y=1.25$
Substitute for y and solve for x.
$x+2(1.25)=5\longrightarrow$ Simplify.
$x+2.5=5\longrightarrow$ Subtract 2.5 from both sides.
$x+2.5-2.5=5-2.5\longrightarrow$ Simplify.
$x=2.5$
