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18 votes
9e + 4=5e + 14 + 13e

2 Answers

5 votes

Answer:

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.

User Alexander Dayan
by
5.6k points
9 votes

Answer:

e = -1

Explanation:

1. 9e + 4 = 5e + 14 + 14e

2. 9e = 5e + 10 + 14e

3. 9e = 19e +10

4. -10e = 10

5. e = -1

Hope that helps

User Anand Nimje
by
5.7k points