Question

Solve the system of equations x+4y=-3 -4×+y=-5​

Answer 1

x=1 and y=−1

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)