solve each system by elimination 2x=10-y y-x=-2

x=4 and y=2

2x=10−y;y−x=−2

Rewrite equations:

2x=−y+10;−x+y=−2

Step: Solve2x=−y+10for y:

2x=−y+10

2x+y=−y+10+y(Add y to both sides)

2x+y=10

2x+y+−2x=10+−2x(Add -2x to both sides)

y=−2x+10

Step: Substitute−2x+10foryin−x+y=−2:

−x+y=−2

−x+−2x+10=−2

−3x+10=−2(Simplify both sides of the equation)

−3x+10+−10=−2+−10(Add -10 to both sides)

−3x=−12

−3x

−3

=

−12

−3

(Divide both sides by -3)

x=4

Step: Substitute4forxiny=−2x+10:

y=−2x+10

y=(−2)(4)+10

y=2(Simplify both sides of the equation)

x=4 and y=2