Question

2. Determine the solution set of −3x+7=10
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:
\(\{-1, 3\}\)