Solve the system of equations by substitution
x = -4y
x+5y=2
We can solve the system of equations by substitution as follows:
First, we solve the first equation for x in terms of y:
x = -4y
Substitute this expression for x in the second equation:
(-4y) + 5y = 2
Combine like terms:
y = 2
Now substitute this value of y back into the first equation to find x:
x = -4(2)
x = -8
So the solution to the system of equations is x = -8 and y = 2.