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Two values of v satisfy the equation |2v- 13| +6 = 9. What is the sum of these values?

User Chintuyadavsara
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1 Answer

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Answer: v = 8, 5; The sum of these values would be 13.

∣2v − 13∣ + 6 = 9

Combine like terms, utilizing the properties of equality. Do not forget to follow the order of operations!

∣2v − 13∣ + 6 = 9

Subtract 6 from both sides of the equation.

∣2v − 13∣ = 3

Consider the definition of absolute value (distance from the number zero); the absolute value of x and -x would both be x.

2v − 13 = 3

2v − 13 = −3

Add 13 to both sides of the equation.

2v = 16

2v = 10

Divide both sides of the equation by 2.

v = 8

v = 5

Add the sum of the values.

8 + 5 = 13

User Stefan Kamphausen
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