Question

Identify which of the following points satisfy the given linear equations: $x-2y=-4;x-y=8$

• A. $(20,12)$
• B. $(-20,12)$
• C. $(-20,-12)$
• D. $(20,-12)$

Answer 1

Answer: (A)

$(20,12)$

$x-2y=-4$ ----- (1)
$x-y=8$ ----- (2)
Substitute the values of first option $x=20$ and $y=12$ in equations 1 and 2
$x-2y=-4$
$20-2\left(12\right)=-4$
$20-24=-4$
$-4=-4$

$x-y=8$
$20-12=8$
$8=8$
Therefore, the first option satisfied the linear equations.

Likewise substitute the value of second option $x=-20,y=12$
$x-2y=-4$
$-20-2\left(12\right)=-4$
$-20-24=-4$
$-44\ne -4$

$x-y=8$
$-20-12=8$
$-32\ne 8$

Similarly, check the options to satisfy the linear equation.
Here, the first option satisfied the linear equation.
The solution is $(20,12)$