Question

Determine the solution set of - 3x + 7 = 10 or 3x - 9 = 0 (1 point) O \{- 1, 3\}; \{3\} The solution set is null \{- 1\}

Answer 1

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

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

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

Now we combine the solutions from both equations. From the first equation, we found \(x = -1\) and from the second equation \(x = 3\). Therefore, the solution set is:
\[
\{-1, 3\}
\]

Thus, the solution set is \(\{-1, 3\}\).