Answer:
x=1 and y=−1
Step-by-step explanation:
So, for this systems of equation, I'm using the substitution method.
x+4y=−3 and −4x+y=−5
Step: Solve x+4y =−3 for x:
x+4y +−4y =−3+−4y(Add -4y to both sides)
x=−4y−3
Step: Substitute−4y−3 for x in −4x+y=−5:
−4x + y =−5
−4(−4y−3)+y=−5
17y +12=−5(Simplify both sides of the equation)
17y +12+−12=−5+−12(Add -12 to both sides)
17y =−17
17y
17
=
−17
17
(Divide both sides by 17)
y=−1
Step: Substitute−1 for y in x=−4y−3:
x=−4y−3
x=(−4)(−1)−3
x=1(Simplify both sides of the equation)
