Answer:
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
