Question

Which among the following are the possible ordered pair which can satisfy the given linear equation in two variable $5x+2y=3$?

• A. $(1,1)$
• B. $(-1,4)$
• C. $(5,-11)$
• D. $(-3,9)$

Answer 1

Answer: (B), (C), (D)

$(-3,9)$

Given, linear equation
$5x+2y=3$

Putting the value of $x$ and solving for $y$ we get,
$\underset{–}{option\left(a\right)}:$ putting $x=1$ in the equation we get,
$5\times 1+2y=3$
$\Rightarrow 2y=3-5$
$\Rightarrow 2y=-2\Rightarrow y=-1$
but given ordered pair in option(a) is $(1,1)$. So, $(1,1)$ is not the ordered pair satisfying this equation.

$\underset{–}{option\left(b\right)}:$putting $x=-1$ we get,
$5\times (-1)+2y=3$
$\Rightarrow 2y=3+5\Rightarrow 2y=8\Rightarrow y=4$
This ordered pair $(-1,4)$ satisfy the linear equation in two variable.

$\underset{–}{option\left(c\right)}:$ Putting $x=5$ we get,
$5\times \left(5\right)+2y=3$
$\Rightarrow 2y=3-25\Rightarrow 2y=-22\Rightarrow y=-11$
This ordered pair $(5,-11)$ satisfy the linear equation in two variable.

$\underset{–}{option\left(d\right)}:$ Putting $x=-3$ we get,
$5\times (-3)+2y=3$
$\Rightarrow 2y=3+15$
$\Rightarrow 2y=18\Rightarrow y=9$
This ordered pair $(-3,9)$ satisfy the linear equation in two variable.