Question

Complete the problems and justify each step (give the properties): 2.5x 12 = 7

a) x = -2
b) x = 2
c) x = 5
d) x = 14

Answer 1

To solve the equation 2.5x * 12 = 7, divide both sides by 12, then simplify the fraction 7/12 to find the value of x.

Step-by-step explanation:

To solve the equation 2.5x * 12 = 7, we need to isolate the variable x. First, divide both sides of the equation by 12 to get rid of the multiplication. This gives us 2.5x = 7 / 12. Next, divide both sides by 2.5 to solve for x. The final step is to simplify the fraction 7 / 12 if necessary.

The properties used in this solution are division and simplification of fractions.

1. 2.5x * 12 = 7
2. 2.5x = 7 / 12
3. x = (7 / 12) / 2.5
4. x = 7 / (12 * 2.5)
5. x = 7 / 30
6. x = 0.23333...