Question

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

{−1,3}
left brace negative 1 comma 3 right brace
{3}
left brace 3 right brace
{−1}
left brace negative 1 right brace
The solution set is null.

Answer 1

To find the solution set of the equations, we need to solve each equation separately.

1. **Solve the first equation:**
\[
-3x + 7 = 10
\]
Subtract 7 from both sides:
\[
-3x = 10 - 7
\]
\[
-3x = 3
\]
Now, divide by -3:
\[
x = -1
\]

2. **Solve the second equation:**
\[
3x - 9 = 0
\]
Add 9 to both sides:
\[
3x = 9
\]
Now, divide by 3:
\[
x = 3
\]

Now let's compile the solution set. The solutions from both equations are \( -1 \) and \( 3 \).

Therefore, the solution set is:
\[
\{ -1, 3 \}
\]

So the answer is:
\[
\{ -1, 3 \}
\]