Question

Use linear combination to solve this problem. show your work. 3x + 2y = -4 4x - y = 13

Answer 1

Answer:

The solution of the system of equations is the point $(2,-5)$

Step-by-step explanation:

we have

$3x+2y=-4$ -----> equation A

$4x-y=13$ -----> equation B

Multiply the equation B by 2 both sides

$2*(4x-y)=2*13$

$8x-2y=26$ ------> equation C

Adds equation A and equation C

$3x+2y=-4\\8x-2y=26\\----------\\3x+8x=-4+26\\11x=22\\x=2$

Find the value of y

Substitute the value of x in equation A

$3(2)+2y=-4$

$2y=-4-6$

$y=-10/2=-5$

The solution of the system of equations is the point $(2,-5)$