Question

If x+7y=7 and 7x-3y=-3, then y =?

• A. 1
• B. 7
• C. -3
• D. 0

Answer 1

The Correct Option is A

To solve this system of equations and find the value of \( y \), we start with the given:

1. Given equations:
(1) \( x + 7y = 7 \)
(2) \( 7x - 3y = -3 \)

2. Solve Equation (1) for \( x \):
From (1):
\[ x = 7 - 7y \]

3. Substitute into Equation (2):
Substitute \( x = 7 - 7y \) into equation (2):
\[ 7(7 - 7y) - 3y = -3 \]

4. Simplify the equation:
\[ 49 - 49y - 3y = -3 \]
\[ 49 - 52y = -3 \]

5. Solve for \( y \):
Subtract 49 from both sides:
\[ -52y = -52 \Rightarrow y = 1 \]

Final Answer:
Option (A) 1 is correct.