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x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x

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x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x

by Max@Math Revolution » Tue May 28, 2019 12:43 am

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[GMAT math practice question]

x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x + y + z?

A. 1
B. 2
C. 3
D. 4
E. 5
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by Brent@GMATPrepNow » Tue May 28, 2019 5:44 am
Max@Math Revolution wrote:[GMAT math practice question]

x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x + y + z?

A. 1
B. 2
C. 3
D. 4
E. 5
GIVEN:
x + 2y + 3z = 4
5x + 4y + 3z = 8

ADD the two equations to get: 6x + 6y + 6z = 12
Factor: 6(x + y + z) = 12
Divide both sides by 6 to get: x + y + z = 2

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Max@Math Revolution » Thu May 30, 2019 12:22 am
=>

When we add the two equations, we obtain (x+2y+3z) + (5x+4y+3z) = 6(x+y+z) = 4 + 8 = 12. Dividing both sides of this equation by 6 yields x+y+z = 2.

Therefore, the answer is B.
Answer: B
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by Scott@TargetTestPrep » Thu Jun 06, 2019 4:42 pm
Max@Math Revolution wrote:[GMAT math practice question]

x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x + y + z?

A. 1
B. 2
C. 3
D. 4
E. 5

Adding the equations, we have:

6x + 6y + 6z = 12

Dividing by 6, we have:

x + y + z = 2

Answer: B

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