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

Question

Responses

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

{3}
left brace 3 right brace

The solution set is null.
The solution set is null.

{−1}
left brace negative 1 right brace

Answer 1

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

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

2. Divide by -3: \[ x = \frac{3}{-3} = -1 \]

Now, to solve the equation \(3x - 9 = 0\):

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

2. Divide by 3: \[ x = \frac{9}{3} = 3 \]

The solution set consists of the solutions from both equations. Therefore, we have:

\[ {-1, 3} \]

So the correct response is: \({−1, 3}\)