Question

Solve the following pairs of equations by reducing them to a pair of linear equations.
$\frac{3}{x+1}-\frac{1}{y+1}=2$ and $\frac{6}{x+1}-\frac{1}{y+1}=5$

• A. (1, 1)
• B. (0, 1)
• C. (1, 0)
• D. (0, 0)

Answer 1

The correct option is D (0, 0)

Assume $\frac{1}{x+1}=p;\frac{1}{y+1}=q$
$3p-q=2$ ----- (1)
$6p-q=5$ -----(2)
- + -
________
$-3p=-3$

$p=1$
Put the value of p in equation (1)
$3\left(1\right)-q=2$
$3-2=q$
$q=1$
$\frac{1}{x+1}=p$
$1=x+1$
$x=1-1$
$x=0$
$\frac{1}{y+1}=q$
$1=y+1$
$y=1-1$
$y=0$
$\therefore$ the solution is (0,0)