Question

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

{x|x=3}
start set x such that x is equal to 3 end set

{x|x=−1}
start set x such that x is equal to negative 1 end set

The solution set is null
The solution set is null

{x|x=−1 or x=3}

Answer 1

To solve the equations, we'll look at each one separately.

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

Subtract 7 from both sides:
\[
-3x = 10 - 7 \\
-3x = 3
\]

Now, divide by -3:
\[
x = -1
\]

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

Add 9 to both sides:
\[
3x = 9
\]

Now, divide by 3:
\[
x = 3
\]

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

The solution set is \(\{x | x = -1 \text{ or } x = 3\}\).

So, the correct response is:

\(\{x | x = -1 \text{ or } x = 3\}\)