Question

Solve, $\frac{x}{4}+6y=\frac{5}{2}$ and $2x-3y=3$

• A. $2,\frac{1}{3}$
• B. $-2,-1$
• C. $-4,-\frac{1}{3}$
• D. None

Answer 1

The correct option is A $2,\frac{1}{3}$

Given,
$\frac{x}{4}+6y=\frac{5}{2}$........ eq(1)
$2x-3y=3$...........eq(2) multiplied by 2
on adding both
$\frac{x}{4}+6y=\frac{5}{2}$
$4x-6y=6$
_______________________________________
$\frac{x}{4}+4x=\frac{5}{2}+6$
$\Rightarrow \frac{x+16x}{4}=\frac{5+12}{2}$
$\Rightarrow \frac{17x}{4}=\frac{17}{2}$
$\Rightarrow 2x=4$
$\Rightarrow x=2$
putting x=2 in eq (1)
$\frac{2}{4}+6y=\frac{5}{2}$
$\Rightarrow 6y=\frac{5}{2}-\frac{1}{2}$
$\Rightarrow 6y=\frac{4}{2}$
$\Rightarrow y=\frac{1}{3}$
so $x=2$ and $y=1/3$