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

D- (-4,-1)

Explanation:

I took the quiz

Answer 2

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.