Question

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

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

The solution set is null
The solution set is null

{−1}
start set negative 1 end set

{3}

Answer 1

To solve the equation \( -3x + 7 = 10 \) or \( 3x - 9 = 0 \), we will solve each equation separately.

1. **For the equation** \( -3x + 7 = 10 \):

\[
-3x + 7 = 10
\]

Subtract 7 from both sides:

\[
-3x = 10 - 7
\]
\[
-3x = 3
\]

Now, divide by -3:

\[
x = \frac{3}{-3} = -1
\]

2. **For the equation** \( 3x - 9 = 0 \):

\[
3x - 9 = 0
\]

Add 9 to both sides:

\[
3x = 9
\]

Now, divide by 3:

\[
x = \frac{9}{3} = 3
\]

Now, we combine the solutions from both equations. The solutions are:

- From the first equation, we found \( x = -1 \).
- From the second equation, we found \( x = 3 \).

Thus, the solution set is:

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

So the correct response is:

**{−1, 3}**