Question

Find the solution of the following pair of equations.
$3x-5y=-1$ and $x-y=-1$

• A. x = - 2 and y = - 1
• B. x = 3 and y = - 1
• C. x = - 1 and y = - 2
• D. x = - 1 and y = - 4

Answer 1

The correct option is A

x = - 2 and y = - 1

$3x-5y=-1$ ...(1)

$x-y=-1$ ...(2)

On multiplying equation (2) by 3, we get

$3x-3y=-3$ ...(3)

On subtracting equation (1) from (3), we get

$2y=-2$

$\Rightarrow y=-1$

On substituting $y=-1$ in equation (2), we get

$x+1=-1$

$\Rightarrow x=-2$

$\therefore x=-2andy=-1$