Question

Which of the following is not a possible solution for $2x-5y=4$?

• A. $x=2$, $y=0$
• B. $x=7$, $y=2$
• C. $x=12$, $y=4$
• D. $x=15$, $y=6$

Answer 1

The correct option is D $x=15$, $y=6$

Given equation is $2x-5y=4$ ....... $\left(i\right)$

(A) $x=2,y=0$

Put the value in equation $\left(i\right)$, we get

$2x-5y=4$

$2\times 2-5\times 0=4$

$\Rightarrow 4=4$

Then $x=2$ and $y=0$ is a solution of $2x-5y=4$

(B) $x=7,y=2$

Put the value in equation $\left(i\right)$, we get

$2x-5y=4$

$2\times 7-5\times 2=4$

$\Rightarrow 14-10=4=4$

Then $x=7$ and $y=2$ is a solution of $2x-5y=4$

(C) $x=12,y=4$

Put the value in equation $\left(i\right)$, we get

$2x-5y=4$

$2\times 12-5\times 4=4$

$\Rightarrow 24-20=4=4$

Then $x=12$ and $y=4$ is a solution of $2x-5y=4$

(D) $x=15,y=6$

Put the value in equation $\left(i\right)$, we get

$2x-5y=4$

$2\times 15-5\times 6=4$

$\Rightarrow 30-30=0\ne 4$

Not satisfied the equation

Then $x=15$ and $y=6$ is not a solution of $2x-5y=4$

Then, (D) $x=15$ and $y=6$ is not a solution of $2x-5y=4$