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

Question

Responses

{3}
left brace 3 right brace

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

{−1}
left brace negative 1 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: \[ x = -1 \]

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

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

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

Now, combining the solutions from both equations, we have:

• From \(-3x + 7 = 10\), we get \(x = -1\).
• From \(3x - 9 = 0\), we get \(x = 3\).

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

The correct response is: \({−1, 3}\) (left brace negative 1 comma 3 right brace).