Answer:
X=1, y=6
Step-by-step explanation:
Let's solve your system by substitution.
−8x−2y=−20;x+2y=13
Rewrite equations:
x+2y=13;−8x−2y=−20
Step: Solvex+2y=13for x:
x+2y=13
x+2y+−2y=13+−2y(Add -2y to both sides)
x=−2y+13
Step: Substitute−2y+13forxin−8x−2y=−20:
−8x−2y=−20
−8(−2y+13)−2y=−20
14y−104=−20(Simplify both sides of the equation)
14y−104+104=−20+104(Add 104 to both sides)
14y=84
14y
14
=
84
14
(Divide both sides by 14)
y=6
Step: Substitute6foryinx=−2y+13:
x=−2y+13
x=(−2)(6)+13
x=1(Simplify both sides of the equation)
Answer:
x=1 and y=6
Hope this helped!
