Question

Use the substituion method to solve the system y = -3, y = 2x + 1.

( __)

Answer 1

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

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

Since \( y \) is already expressed in the first equation, we can substitute \(-3\) for \( y \) in the second equation.

Now, substitute \( y \) in the second equation:

\[
-3 = 2x + 1
\]

Next, solve for \( x \):
1. Subtract 1 from both sides:
\[
-3 - 1 = 2x
\]
\[
-4 = 2x
\]

2. Divide both sides by 2:
\[
x = -2
\]

Now that we have found \( x = -2 \), we can substitute this value back into the first equation to find \( y \):

\[
y = -3
\]

Thus, the solution to the system of equations is:
\[
(x, y) = (-2, -3)
\]

Final answer:

\[
(-2, -3)
\]