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

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)