Answer
x=-2
y=-7
(-2,-7)
Work Step by Step
$6x-y=-5$
$4x-2y=6$
Equate the coefficients of y to eliminate y and solve for x.
$6x-y=-5\longrightarrow$ Multiply both sides by 2.
$2(6x-y)=2(-5)\longrightarrow$ Apply the distributive property.
$12x-2y=-10$
Subtract the second equation from the new equation.
$\ \ \ 12x-2y=-10$
$\underline{-(4x-2y=6)}$
$\ \ \ 8x\ \ \ \ \ \ \ \ \ \ \ =-16$
Solve for x.
$8x=-16\longrightarrow$ Divide both sides by 8.
$8x\div8=-16\div8\longrightarrow$ Simplify.
$x=-2$
Substitute for x and solve for y.
$6(-2)-y=-5\longrightarrow$ Simplify.
$-12-y=-5\longrightarrow$ Add 12 to both sides.
$-12-y+12=-5+12\longrightarrow$ Simplify.
$-y=7\longrightarrow$ Multiply both sides by -1.
$-y\times-1=7\times-1\longrightarrow$ Simplify.
$y=-7$
