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. Option A or Option B
• D. None of the above

Answer 1

The correct option is C

Option A or Option B

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 a linear equation.

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