Question

What will you substitute to make the following equation a linear equation

$\frac{1}{x}$ + $\frac{3}{y}$ = 1

• A. x as 1/p and y as 1/q
• B. 1/x as p and 1/y as q
• C. Any of the above
• D. None of the above

Answer 1

The correct option is C

Any of the above

If we substitute x as $\frac{1}{p}$ and y as $\frac{1}{q}$ then we will get the equation as

$p+3q=1$

Now we see that the above equation is a linear equation.

If we substitute $\frac{1}{x}$ as p and $\frac{1}{y}$ as q, we will get the equation as

$p+3q=1$

It is linear equation.

So we can reduce the equation in linear form by substituting both option A and B.