Question

9e + 4= -5e + 14 + 13e
solve for e

Answer 1

e = 10

Explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.

Answer 2

e =10

Explanation:

9e + 4= -5e + 14 + 13e

The first step is to combine like terms.

9e + 4= -5e + 13e+14

9e +4 = 8e + 14

Subtract 8e from each side.

9e-8e +4 = 14

e +4 = 14

Subtract 4 from each side to isolate e.

e+4-4 = 14-4

e = 10