Answer: x = 2 & y = 0
Step-by-step explanation:*
Rewrite equations:
−x+4y=−2;−2x+5y=−4
Step: Solve−x+4y=−2for x:
−x+4y=−2
−x+4y+−4y=−2+−4y(Add -4y to both sides)
−x=−4y−2
−x
−1
=
−4y−2
−1
(Divide both sides by -1)
x=4y+2
Step: Substitute 4y+2 for x in −2x+5y=−4:
−2x+5y=−4
−2(4y+2)+5y=−4
−3y−4=−4(Simplify both sides of the equation)
−3y−4+4=−4+4(Add 4 to both sides)
−3y=0
−3y
−3
=
0
−3
(Divide both sides by -3)
y = 0
Step: Substitute 0 for y in x=4y+2:
x=4y+2
x=(4)(0)+2
x = 2 (Simplify both sides of the equation)
*I used MathPapa algebra calculator to solve this and get this explanation.
I hope this helps!
