2. Determine the solution set of −3x+7=10

Question

or 3x−9=0
(1 point)
Responses

{−1}
start set negative 1 end set

{3}
start set 3 end set

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

The solution set is null

Answer 1

To solve the equations, we will solve each equation separately.

1. Solve the first equation: \(-3x + 7 = 10\)

   Subtract 7 from both sides: \(-3x = 10 - 7\) \(-3x = 3\)

   Now, divide both sides by -3: \(x = \frac{3}{-3}\) \(x = -1\)

2. Solve the second equation: \(3x - 9 = 0\)

   Add 9 to both sides: \(3x = 9\)

   Now, divide both sides by 3: \(x = \frac{9}{3}\) \(x = 3\)

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

Thus, the correct response is: \({-1, 3}\)