Question

Use linear combination to solve this problem. show your work.

3x + 2y = -4
4x - y = 13

Answer 1

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

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)`