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
{−1}
left brace negative 1 right brace
The solution set is null.

Answer 1

To find the solution set of the equations, we need to solve each equation separately.

1. Solve the first equation: \[ -3x + 7 = 10 \] Subtract 7 from both sides: \[ -3x = 10 - 7 \] \[ -3x = 3 \] Now, divide by -3: \[ x = -1 \]

2. Solve the second equation: \[ 3x - 9 = 0 \] Add 9 to both sides: \[ 3x = 9 \] Now, divide by 3: \[ x = 3 \]

Now let's compile the solution set. The solutions from both equations are \( -1 \) and \( 3 \).

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

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