Question

Solve using substitution.

x + 3y = 14
x = –7

Answer 1

To solve the system of equations using substitution, we have the following equations:

1. \( x + 3y = 14 \)
2. \( x = -7 \)

We can substitute the value of \( x \) from the second equation into the first equation.

Substituting \( x = -7 \) into the first equation:

\[
-7 + 3y = 14
\]

Now, we will solve for \( y \):

1. Add 7 to both sides of the equation:

\[
3y = 14 + 7
\]
\[
3y = 21
\]

2. Divide both sides by 3:

\[
y = \frac{21}{3}
\]
\[
y = 7
\]

Thus, the solution to the system of equations is:

\[
x = -7, \quad y = 7
\]

So the final answer is:

\[
(x, y) = (-7, 7)
\]