Question

The equation $3x-5y=15+3x$ has

• A. 1 solution
• B. 2 solution
• C. no solution
• D. infinite solutions

Answer 1

The correct option is D

infinite solutions

Given equation is

$3x-5y=15+3x$

$-5y=15$

$y=-15/5$

$y=-3$

This represents a line parallel to X-axis cutting Y-axis at (0,-3)

So, the number of solutions are infinite.

Also, when you compare it with $ax+by+c=0$ $\Rightarrow a=0,b=1,c=3$

and we know that the linear equation in two variable has infinte number of solutions.