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Twice a number increased by seven is equal to five. Which of the following represents the equation and solution for this statement?

2 n + 7 = 5; n = -4.5
2 n = 7 + 5; n = 6
2 n + 7 = 5; n = -1
2( n + 7) = 5; n = -4.5

2 Answers

5 votes

Hey there!

The answer to your question is the third option: 2n + 7 = 5; n = -1

"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":

2n + 7 = 5 Step 1: Write the equation.

2n = -2 Step 2: Subtract 7 from both sides.

n = -1 Step 3: Divide both sides by 2.

Therefore, "n" is equal to -1, and the third option would be correct.

Hope it helps! Have a great day, and good luck on your assignment!

User Burfl
by
4.1k points
14 votes

Answer:

Explanation:

The answer to your question is the third option: 2n + 7 = 5; n = -1

"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":

2n + 7 = 5 Step 1: Write the equation.

2n = -2 Step 2: Subtract 7 from both sides.

n = -1 Step 3: Divide both sides by 2.

Therefore, "n" is equal to -1, and the third option would be correct.

User Ruudt
by
4.2k points