Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.
x+y=3
y= 8
(-11,8)
(5,8)
(-5,8)
(11,8)

Answer 1

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

1. \( x + y = 3 \)
2. \( y = 8 \)

Since the second equation gives us a value for \( y \), we can substitute \( y = 8 \) into the first equation.

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

\[
x + 8 = 3
\]

To find \( x \), subtract 8 from both sides:

\[
x = 3 - 8
\]
\[
x = -5
\]

Now we have \( x = -5 \) and \( y = 8 \). Thus, the solution for the system of equations is the ordered pair \( (-5, 8) \).

So the correct ordered pair is:

\[
\boxed{(-5, 8)}
\]