Question

using inverse operations to solve 5x -7 =3 show all steps for getting the variable by itself then check your answer by plugging it back into the original equations

Answer 1

To solve the equation 5x - 7 = 3, we need to isolate the variable x.

Step 1: Start by getting rid of the constant term -7 on the left side of the equation. We can do this by adding 7 to both sides of the equation.

5x - 7 + 7 = 3 + 7
5x = 10

Step 2: Now the equation is simplified to 5x = 10. To further isolate x, divide both sides of the equation by the coefficient 5.

5x/5 = 10/5
x = 2

Hence, we found that x = 2 after simplifying the equation using inverse operations.

To verify our answer, we can substitute x = 2 back into the original equation 5x - 7 = 3 and see if it holds true.

5(2) - 7 = 3
10 - 7 = 3
3 = 3

Since both sides of the equation are equal, we can conclude that our solution x = 2 is correct.