Question

GG.8 Solve a system of equations using substitution
J8X
Solve using substitution.

x = 2
9x + 6y = –12

(
,
)

Answer 1

To solve the system of equations using substitution, we can start with the equations provided:

1. \( x = 2 \)
2. \( 9x + 6y = -12 \)

Since we already have \( x \) in terms of a number, we can substitute \( x = 2 \) into the second equation.

Substituting \( x = 2 \) into the second equation:

\[
9(2) + 6y = -12
\]

Now, calculate \( 9(2) \):

\[
18 + 6y = -12
\]

Next, we solve for \( y \) by isolating \( 6y \):

\[
6y = -12 - 18
\]
\[
6y = -30
\]

Now, divide both sides by 6:

\[
y = -5
\]

So, we have:

\[
x = 2
\]
\[
y = -5
\]

Thus, the solution to the system of equations is:

\((2, -5)\)