Question

Solve the following pair of linear equations:
$\frac{x}{2}+\frac{2y}{3}=-1$ and $x-\frac{y}{3}=3$

• A. 2,-3
• B. -3,2
• C. 4,-3
• D. 2,4

Answer 1

The correct option is A 2,-3

Given,
$\frac{x}{2}+\frac{2y}{3}=-1$ and $x-\frac{y}{3}=3$
By taking the LCM of the equations we get ,
3x + 4y = -6.... (1)
and 3x - y = 9..... (2)
(1) - (2) gives
3x + 4y - 3x + y = -6 - 9
5y = -15$\Rightarrow$ y = -3

Substituting y = -3 in (1)
3x + 4(-3) = -6
3x - 12= -6
3x = 6 $\Rightarrow$ x = 2

$\therefore$ x = 2 and y = -3