Question

Given a linear equation $2x+3y=10$. How many pairs of solution ($x,y$) are possible such that $x$ and $y$ $(\ge 0)$ both are integers?

• A. $1$
• B. $3$
• C. $4$
• D. $2$

Answer 1

The correct option is D $2$

$2x+3y=10$
$\Rightarrow x=\frac{10-3y}{2}$
$\Rightarrow x=5-\frac{3y}{2}$
When $y=0,x=5$

When $y=2,x=2$
Only two integer values are possible.