Question

Solve using substitution.

7x − 9y = –5
x = 7

(
,
)

Answer 1

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

Given:
1. \( 7x - 9y = -5 \)
2. \( x = 7 \)

Now, substitute \( x = 7 \) into the first equation:

\[
7(7) - 9y = -5
\]

Calculating \( 7(7) \):

\[
49 - 9y = -5
\]

Next, we need to isolate \( y \). Start by subtracting 49 from both sides:

\[
-9y = -5 - 49
\]

This simplifies to:

\[
-9y = -54
\]

Now, divide both sides by -9:

\[
y = \frac{-54}{-9} = 6
\]

So, we have found \( y = 6 \) and \( x = 7 \).

The solution in coordinate form is:

\[
(7, 6)
\]