Solve the system of equations by substitution.

Question

x = –4y
x + 5y = 2
(1 point)
Responses

(–8, 2)
(–8, 2)

(8, –2)
(8, –2)

(two-ninths, –eight-ninths)
( Image with alt text: two-ninths , – Image with alt text: eight-ninths )

(–12, 3)

Answer 1

To solve the system of equations by substitution, we can substitute the value of x from the first equation into the second equation.

Given that x = -4y, we can substitute -4y for x in the second equation:

-4y + 5y = 2

Simplifying the equation:

y = 2

Now we can substitute this value of y back into the first equation to solve for x:

x = -4(2)

Simplifying:

x = -8

Therefore, the solution to the system of equations is (-8, 2).