Question

Solve the system of equations y = -3x + 3 y = 2x - 7 (1 point) Responses (2,-3) (2,-3) (0,2) (0,2) (0,2) (0,2) (-6,-2)

Answer 1

To solve the system of equations:

1. \( y = -3x + 3 \)
2. \( y = 2x - 7 \)

We can set the two equations equal to each other since both are equal to \( y \):

\[
-3x + 3 = 2x - 7
\]

Now, solve for \( x \):

1. Add \( 3x \) to both sides:
\[
3 = 5x - 7
\]

2. Add \( 7 \) to both sides:
\[
10 = 5x
\]

3. Divide both sides by \( 5 \):
\[
x = 2
\]

Next, substitute \( x = 2 \) back into either equation to find \( y \). Let's use the first equation:

\[
y = -3(2) + 3
\]

Calculating that gives:

\[
y = -6 + 3 = -3
\]

So, the solution to the system of equations is \( (2, -3) \).

Thus, the correct response is:
**(2, -3)**.