Question

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

Answer 1

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

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

Since the first equation gives us the value of \( y \), we can substitute \( -3 \) into the second equation in place of \( y \):

\[
-3 = 2x + 1
\]

Now, we can solve the equation 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 find the corresponding value of \( y \) using the first equation:

\[
y = -3
\]

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