Answer
x=2
y=0
(2,0)
Work Step by Step
$3x-y=6$
$-4x+2y=-8$
Solve the system of equations using substitution.
Isolate one variable on one side of one equation.
$3x-y=6\longrightarrow$ Add y to both sides of the equation.
$3x-y+y=6+y\longrightarrow$ Simplify.
$3x=6+y\longrightarrow$ Subtract 6 from both sides.
$3x-6=6+y-6\longrightarrow$ Simplify
$3x-6=y$
Substitute for y in the second equation. Solve for x.
$-4x+2(3x-6)=-8\longrightarrow$ Apply the distributive property.
$-4x+6x-12=-8\longrightarrow$ Simplify.
$2x-12=-8\longrightarrow$ Add 12 to both sides.
$2x-12+12=-8+12\longrightarrow$ Simplify.
$2x=4\longrightarrow$ Divide both sides by 2.
$2x\div2=4\div2\longrightarrow$ Divide both sides by 2.
$x=2$
Substitute for x in either equation and solve for y.
$3(2)-y=6\longrightarrow$ Simplify
$6-y=6\longrightarrow$ Subtract 6 from both sides.
$6-y-6=6-6\longrightarrow$ Simplify.
$-y=0\longrightarrow$ Divide both sides by -1.
$-y\div-1=0\div-1\longrightarrow$ Simplify.
$y=0$
