Determine the solution set of −3x+7=10 or 3x−9=0

Question

(1 point)
Responses

The solution set is null
The solution set is null

{−1,3}
start set negative 1 comma 3 end set

{3}
start set 3 end set

{−1}

Answer 1

To solve the equation \(-3x + 7 = 10\), we first isolate \(x\):

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

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

Next, we solve the second equation \(3x - 9 = 0\):

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

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

Now we combine the solutions from both equations. The solution set is: \[ {-1, 3} \]

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