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

Question

Responses

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

{−1}
left brace negative 1 right brace

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

{3}

Answer 1

To find the solution set for the given equations \( -3x + 7 = 10 \) and \( 3x - 9 = 0 \), we will solve each equation separately.

Solving the first equation:

1. Start with the equation: \[ -3x + 7 = 10 \]
2. Subtract 7 from both sides: \[ -3x = 10 - 7 \] \[ -3x = 3 \]
3. Divide both sides by -3: \[ x = -1 \]

Solving the second equation:

1. Start with the equation: \[ 3x - 9 = 0 \]
2. Add 9 to both sides: \[ 3x = 9 \]
3. Divide both sides by 3: \[ x = 3 \]

Conclusion

The solutions from the equations are \( x = -1 \) and \( x = 3 \).

Thus, the solution set is: \[ {-1, 3} \]

So the correct answer is: \[ {−1, 3} \]