Question

Identify the correct answer which satisfies the linear equations: $x+4y=8$ and $3x-4y=-24$

• A. $(-4,-3)$
• B. $(-4,3)$
• C. $(4,-3)$
• D. $(4,3)$

Answer 1

Answer: (B)

$(-4,3)$

$x+4y=8$ ----- (1)
$3x-4y=-24$ ----- (2)
Substitute the values of first option $x=-4$ and $y=-3$ in equations 1 and 2
$x+4y=8$
$-4+4(-3)=8$
$-4-12=8$
$-16\ne 8$
$3x-4y=-24$
$3(-4)4(-3)=-24$
$-12+12=-24$
$0\ne -24$
Therefore, the first option not satisfied the linear equations.
Likewise substitute the value of second option $x=-4,y=3$
$x+4y=8$
$-4+4\left(3\right)=8$
$-4+12=8$
$8=8$
$3x-4y=-24$
$3(-4)4\left(3\right)=-24$
$-12-12=-24$
$-24=-24$
Similarly, check the options to satisfy the linear equation.
Here, the second option satisfied the linear equation.
The solution is $(-4,3)$