Question

Identify the correct answer which satisfies the linear equations: $2x+7y=0$ and $x+y=5$

• A. $(7,-2)$
• B. $(-7,2)$
• C. $(7,-3)$
• D. $(7,3)$

Answer 1

The correct option is A $(7,-2)$

$2x+7y=0$ ----- (1)
$x+y=5$ ----- (2)
Substitute the values of first option $x=7$ and $y=-2$ in equations 1 and 2
$2x+7y=0$
$2\left(7\right)+7(-2)=0$
$14-14=0$
$0=0$
$x+y=5$
$7-2=5$
$5=5$
Therefore, the first option satisfied the linear equations.
Likewise substitute the value of second option $x=-7,y=2$
$2x+7y=0$
$2(-7)+7\left(2\right)=0$
$-14+14=0$
$0=0$
$x+y=5$
$-7+2=5$
$-5\ne 5$
Similarly, check the options to satisfy the linear equation.
Here, the first option satisfied the linear equation.
The solution is $(7,-2)$