Question

How will you make the following equations linear?
$\frac{5}{x-1}+\frac{1}{y-2}=2$
$\frac{6}{x-1}+\frac{3}{y-2}=1$
(Where $x\ne 1,y\ne 2)$

• A. Substitute $\frac{1}{x-1}$ as p and $\frac{1}{y-2}$ as q
• B. The equation is already linear
• C. Substitute $x=X+1$ and $y=Y+2$
• D. None of the above

Answer 1

The correct option is A

Substitute $\frac{1}{x-1}$ as p and $\frac{1}{y-2}$ as q

If we substitute $\frac{1}{x-1}$ as p and $\frac{1}{y-2}$ as q in the given equations. (As $x\ne 1,y\ne 2)$
We get the equations as
$5p+q=2$
$6p+3q=1$
Now we can see that the equations are linear.