If \(2x + y = 18\) and \(3x = 17 + y,\) what is the value of \(x?\)

A. 1

B. 4

C. 7

D. 9

E. 13

Answer: C

Source: Veritas Prep

## If \(2x + y = 18\) and \(3x = 17 + y,\) what is the value of \(x?\)

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Let's use the

**elimination method**...

GIVEN:

2x + y = 18

3x = 17 + y

Take 3x = 17 + y and subtract y from both sides to get: 3x - y = 17

We now have:

2x + y = 18

3x - y = 17

ADD the two equations to get: 5x = 35

Solve: x = 7

Answer: C

Cheers,

Brent