Question

Identify which of the following points satisfy the given linear equations: $4x-7y=5$; $9x-7y=-15$

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

Answer 1

The correct option is A (-4, -3)

$4x-7y=5$ ----- (1)
$9x-7y=-15$ ----- (2)
Substitute the values of first option $x=-4$ and $y=-3$ in equations 1 and 2
$4x-7y=5$
$4(-4)-7(-3)=5$
$-16+21=5$
$5=5$
$9x-7y=-15$
$9(-4)-7(-3)=-15$
$-36+21=-15$
$-15=-15$
Therefore, the first option satisfied the linear equations.
Likewise substitute the value of second option $x=4,y=3$
$4x-7y=5$
$4\left(4\right)-7\left(3\right)=5$
$16-21=5$
$-5\ne 5$
$9x-7y=-15$
$9\left(4\right)-7\left(3\right)=-15$
$36-21=-15$
$15\ne -15$
Similarly, check the options to satisfy the linear equation.
Here, the first option satisfied the linear equation.
The solution is (-4, -3)