Question

Solve using substitution.
-5x + 8y = -8
x = 8
(_, _)

Answer 1

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

Given the equations:
1. \( -5x + 8y = -8 \)
2. \( x = 8 \)

Substituting \( x = 8 \) into the first equation:

\[
-5(8) + 8y = -8
\]

Simplifying:

\[
-40 + 8y = -8
\]

Adding 40 to both sides:

\[
8y = -8 + 40
\]

\[
8y = 32
\]

Now, divide both sides by 8:

\[
y = 4
\]

Thus, the solution is \( (x, y) = (8, 4) \).

So, the answer is:

\[
(8, 4)
\]