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(x)/(y) = 6 If ( x, y ) is th...

` (x)/(y) = 6 `
If ` ( x, y ) ` is the solution to the system of equations above, what is the value of ` y ` ?

A

2

B

4

C

12

D

24

Text Solution

Verified by Experts

The correct Answer is:
A
The first equation can be rewritten as `x = 6y`. Substituting `6y` for `x` in the second equation gives `4(y + 1) = 6y`. The left-hand side can be rewritten as `4y + 4`, giving `4y + 4 = 6y`. Subtracting 4y from both sides of the equation gives `4 = 2y, or y = 2`.
Choices B, C, and D are incorrect and may be the result of a computational or conceptual error when solving the system of equations.
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