Question

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

y = 9
7x − 4y = 6

(
,
)

Answer 1

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

1. \( y = 9 \)
2. \( 7x - 4y = 6 \)

Since we already have \( y \) expressed in terms of a constant (9), we can substitute \( y \) into the second equation.

Substituting \( y = 9 \) into the second equation:

\[
7x - 4(9) = 6
\]

Now simplify this equation:

\[
7x - 36 = 6
\]

Next, add 36 to both sides to isolate the term with \( x \):

\[
7x = 6 + 36
\]
\[
7x = 42
\]

Now, divide both sides by 7 to solve for \( x \):

\[
x = \frac{42}{7} = 6
\]

Now we have the values:

\[
x = 6 \quad \text{and} \quad y = 9
\]

Thus, the solution to the system of equations is:

\[
(6, 9)
\]

So the final answer is:

\[
\boxed{(6, 9)}
\]