Answer:
x=26 and y=-29
Explanation:
To do elimination on a system of equations, you need one variable to have matching coefficient values. When this is not present, you can it make it so using multiplication or division over each equation. The equations (-2x-2y=-6) (12x+10y=22) do not have matching coefficients in either variabe. However if -2x-2y=6 is multplied by 6 then the coefficients of x become 12x and -12x. So 6*(-2x-2y=6) =-12x-12y=36.
Now stack the equations and add each of the like terms:
-12x-12y=36
12x+10y=22
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0x-2y=58
-2y=58
y=-29
To find x, substitute y=-29 into one equation.
-2x-2(-29)=6
-2x+58=6
-2x=-52
x=26