Question

Solving Simultaneous Equations Using Substitution Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
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 have:

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

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

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

\[
-3 = 2x + 1
\]

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

\[
y = -3
\]

So the solution of the system of equations is:

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

In coordinate form, the solution is:

\[
(-2, -3)
\]