Question

A student provided the steps for solving an equation. Which statement describes the error in the solution?

Equation: 4(m-3)+5(m+2)=m+9

Solution: 4m-12+5m+10=m+9 (step 1)
9m-2=m+9 (step 2)
8m =7 (step 3)
m=7/8 (7 over 8) (step 4)

[answer choices]

A. In step 2, like terms where combined incorrectly
B. In step 3, the addition property of equality was applied incorrectly.
C. In step 1, 5he distributive property was applied incorrectly.
D. In step 4 the multiplication property of equality was applied incorrectly

Answer 1

D. In step 4 the multiplication property of equality was applied incorrectly

Explanation:

Answer 2

The answer for the exercise shown above is the second option, the option B, which is: B. In step 3, the addition property of equality was applied incorrectly.

The explanation is:

To solve this problem you must apply the proccedure shown below:. You have the followinwg equation:

4(m-3)+5(m+2)=m+9

Let's review the steps:

4m-12+5m+10=m+9 (step 1)
9m-2=m+9 (step 2)
8m =7 (step 3) (There is a mistake, because: 9m-m=9+2⇒8m=11)
m=11/8 This should be the step 4