Question

Solve using substitution.

x = –4
–10x − 2y = 20

Answer 1

To solve the system of equations using substitution, we will substitute the value of \( x \) into the second equation.

Given:
1. \( x = -4 \)
2. \( -10x - 2y = 20 \)

Now, substituting \( x = -4 \) into the second equation:

\[
-10(-4) - 2y = 20
\]

Calculating \( -10(-4) \):

\[
40 - 2y = 20
\]

Next, we need to isolate \( y \). Start by subtracting \( 40 \) from both sides:

\[
-2y = 20 - 40
\]
\[
-2y = -20
\]

Now, divide by \(-2\):

\[
y = \frac{-20}{-2} = 10
\]

Now we have the solution:

\[
x = -4, \quad y = 10
\]

So, the solution to the system of equations is:

\[
(x, y) = (-4, 10)
\]