Question

The linear equation$2x–5y=7$ has:

• A. A unique solution
• B. Two solutions
• C. Infinitely many solutions
• D. No solution.

Answer 1

The correct option is C

Infinitely many solutions

Explanation for the correct option:

Option (C):Infinitely many solutions

The given linear equation is $2x-5y=7$.

If we assume any value for $x$,accordingly we get the value for $y$.

For example if $x=2$ then on putting this value of $x$in the given equation we get,

$2\times 2-5y=7$

$\Rightarrow 4-5y=7$

$\Rightarrow -5y=7-4$

$\Rightarrow y=-\frac{3}{5}$

Similarly we can get infinite solutions of the linear equation $2x-5y=7$

Therefore , the correct option is C