Question

Solve the following pair of equations:

$\frac{x-y}{6}=2$
$2x+y=3(x-4)$

• A. $x=4;y=5$
• B. $x=-6;y=14$
• C. Many solution
• D. Infinite solution

Answer 1

The correct option is D Infinite solution

Given equations: $\frac{x-y}{6}=2$

$\Rightarrow x-y=12------\left(1\right)$

$2x+y=3(x-4)$

$\Rightarrow x-y=12--------\left(2\right)$

Both equations are same. so both lines are same and will have infinitely many solutions

Correct answer is option C.