Question

Determine the solution set of −3x+7=10 or 3x−9=0
(1 point)
Responses

The solution set is null
The solution set is null

{−1,3}
start set negative 1 comma 3 end set

{−1}
start set negative 1 end set

{3}

Answer 1

To determine the solution set for the equation \(-3x + 7 = 10\) or \(3x - 9 = 0\), we need to solve each equation separately.

1. **Solve \(-3x + 7 = 10\)**:
\[
-3x + 7 = 10
\]
Subtract 7 from both sides:
\[
-3x = 10 - 7
\]
\[
-3x = 3
\]
Divide by -3:
\[
x = -1
\]

2. **Solve \(3x - 9 = 0\)**:
\[
3x - 9 = 0
\]
Add 9 to both sides:
\[
3x = 9
\]
Divide by 3:
\[
x = 3
\]

Now, we combine the solutions from both equations. The solutions are \(x = -1\) and \(x = 3\). Therefore, the solution set is:

\[
\{-1, 3\}
\]

So, the correct response is:

**{−1, 3}**.