Question

Given that $\frac{x}{y}=6$ and $4(y+1)=x$
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. $24$

Answer 1

The correct option is A $2$

Given, $\frac{x}{y}=6...\left(1\right)$
and $4(y+1)=x...\left(2\right)$
Substituting eqn $\left(2\right)$ in eqn $\left(1\right)$, we get
$\frac{4(y+1)}{y}=6$
$\Rightarrow 4y+4=6y$
$\Rightarrow 2y=4$
$\Rightarrow y=2$