Determine the solution set of −3x+7=10 or 3x−9=0.

Answer 1

To solve the equation −3x + 7 = 10, we can start by subtracting 7 from both sides:

−3x + 7 - 7 = 10 - 7
−3x = 3

Next, we can divide both sides of the equation by -3 to solve for x:

−3x / -3 = 3 / -3
x = -1

Therefore, the solution to the equation −3x + 7 = 10 is x = -1.

Now, let's solve the equation 3x − 9 = 0. We can start by adding 9 to both sides:

3x − 9 + 9 = 0 + 9
3x = 9

Next, we can divide both sides of the equation by 3 to solve for x:

3x / 3 = 9 / 3
x = 3

Therefore, the solution to the equation 3x − 9 = 0 is x = 3.

The solution set of the given equations is {x = -1, x = 3}.