Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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}.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation −3x+7=10, we can follow these steps:

Step 1: Move the constant term to the right side of the equation.
7 - 7 = 10 - 7
-3x = 3

Step 2: Divide both sides of the equation by the coefficient of x, which is -3.
(-3x) / -3 = 3 / -3
x = -1

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

Now, let's move to the second equation, 3x−9=0.

Step 1: Move the constant term to the right side of the equation.
9 - 9 = 0 - 9
3x = -9

Step 2: Divide both sides of the equation by the coefficient of x, which is 3.
(3x) / 3 = -9 / 3
x = -3

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

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