Determine the solution set of −3x+7=10 or 3x−9=0 .(1 point) Responses {−1} left brace negative 1 right brace {3} left brace 3 right brace {−1,3} left brace negative 1 comma 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 both sides by -3: \[ x = -1 \]

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

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

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

Now we summarize the solutions from both equations:

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

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

The final answer is \({-1, 3}\).