Question: If 4x + y = 8 and y – 3x = 7, then what is the value of x + 2y?

1. \(\frac{1}{7}\)
2. 3
3. 15
4. \(\frac{52}{7}\)
5. \(\frac{60}{7}\)

Answer:
Solution with Explanation:
Approach Solution (1):

We will make the equations as:

4x + y = 8 … (equation 1)
-3x + y = 7 … (equation 2)

Adding both the equations, we will get:

4x + y – 3x + y = 8 + 7
x + 2y = 15

Correct Option: C

Approach Solution (2):

The equations formed after understanding the question will be:

4p + q = 8 … (1)
-3p + q = 7 … (2)

Add both the equations:

4p + q – 3p + q = 8 + 7
p + 2q = 15

Correct Option: C

Approach Solution (3):

Given: 4x + y = 8
y - 3x = 7
From the above the equations, we can see that:
4x + y = 8
-3x + y = 7
Equating both the equations
x + 2y = 8 + 7 = 15

Correct Option: C

“If 4x + y = 8 and y – 3x = 7, then what is the value of x + 2y?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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