Q. Solve the system by substitution.−2y+10=x−x−3y=−8(□,□)
Isolate x: Isolate x in the first equation.The first equation is −2y+10=x. We can rewrite this as x=−2y+10.
Substitute x: Substitute the expression for x into the second equation.The second equation is −x−3y=−8. Substituting x from the first equation, we get −(−2y+10)−3y=−8.
Simplify and solve: Simplify the equation and solve for y.2y−10−3y=−8−y−10=−8Add 10 to both sides:−y=2Multiply both sides by −1:y=−2
Substitute y into x: Substitute the value of y back into the first equation to find x. Using the first equation x=−2y+10 and substituting y=−2, we get: x=−2(−2)+10x=4+10x=14
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