Question

If x = 1, then the solution x/2 - y/3  = 3 is 

A) (1, \(\frac{-15}{2}\))

B) (1, \(\frac{21}{2}\))

C) (\(\frac{-15}{2}\), 1)

D) ( \(\frac{21 }{2}\),1)

Answer 1

Correct option is (A) \((1,\frac{-15}{2})\)

Put x = 1 in equation \(\frac{x}{2}-\frac{y}{3}=3,\) we get

\(\frac{1}{2}-\frac{y}{3}=3\)

\(\Rightarrow\) \(\frac{y}{3}=\frac{1}{2}-3=\frac{1-6}{2}=\frac{-5}2\)

\(\therefore\) \(y=\frac{-5}2\times3=\frac{-15}2\)

Hence, \((1,\frac{-15}{2})\) is a solution of equation \(\frac{x}{2}-\frac{y}{3}=3.\)

Answer 2

Correct option is  A) (1, \(\frac{-15}{2}\))