Question

$\text{Find the value for x, y for:}3x-7=\frac{1}{y},x+\frac{1}{y}=1$

• A. 2 , -1
• B. 1, 2
• C. -2, 5
• D. 3, -5

Answer 1

The correct option is A

2 , -1

$3x-\frac{1}{y}=7x+\frac{1}{y}=1Substituting\frac{1}{y}by1andequation\left(iv\right)by3,weget3x-a=7......\left(iii\right)x+a=1........\left(iv\right)\text{Solving the above two equations we get}a=\frac{-4}{4}=-1\therefore \frac{1}{y}=-1\Rightarrow y=-1[\because \frac{1}{y}=a]\text{Substituting value of y in equation (ii) we get}x+\frac{1}{y}=1\Rightarrow x=2\therefore x=2,y=-1$