Question

Question 2(Multiple Choice Worth 1 points) (06.01) Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)

Answer 1

ANSWER

The solution is
$(-4,-1)$


EXPLANATION

The given equations are:

$2x + 5y = - 13...(1)$

and

$3x - 4y = - 8...(2)$


We multiply equation 1 by 3 to get,

$6x + 15y = - 39...(3)$

We multiply equation 2 also by 2 to get,

$6x - 8y = - 16...(4)$

We subtract equation 4 from equation 3 to get,


$23y = - 23$
This implies that,

$y = - 1$

We put this value of y into any of the equations say equation 2

$3x - 4( - 1) = - 8$
Simplify

$3x + 4 = - 8$
Group like terms
$3x = - 8 - 4$
Simplify,

$3x = - 12$

Divide both sides by 3 to get,

$x = - 4$


Therefore the solution is
$(-4,-1)$

The correct answer is option D.