Question

Use the substitution method to solve the system y=−3, y=2x+1.(1 point)

Answer 1

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

The system of equations is:

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

Substituting \( y = -3 \) into the second equation:

\[
-3 = 2x + 1
\]

Now, we can 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 the value of \( x \), we can substitute it back into the first equation to find \( y \):

\[
y = -3
\]

Thus, the solution to the system of equations is:

\[
(x, y) = (-2, -3)
\]