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

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: \[ x = \frac{3}{-3} = -1 \]

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

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

2. Divide both sides by 3: \[ x = \frac{9}{3} = 3 \]

The solutions to the equations are \(x = -1\) and \(x = 3\). Since the original problem uses "or," the overall solution set is: \[ { -1, 3 } \]