Question

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

{−1}
left brace negative 1 right brace

{−1,3}
left brace negative 1 comma 3 right brace

{3}
left brace 3 right brace

The solution set is null.

Answer 1

To solve the equation \( -3x + 7 = 10 \):

1. Subtract \( 7 \) from both sides:
\[
-3x = 10 - 7
\]
\[
-3x = 3
\]

2. Divide by \( -3 \):
\[
x = -1
\]

Now, let's solve the second equation \( 3x - 9 = 0 \):

1. Add \( 9 \) to both sides:
\[
3x = 9
\]

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

So, the solutions to the two equations are \( x = -1 \) and \( x = 3 \).

Now we combine the solutions into a solution set:
\[
\{-1, 3\}
\]

Thus, the solution set is \(\{ -1, 3 \}\).