Question

Step by step linear combination. 3x+2y=-4 4x-y=13

Answer 1

The solution is the point (2,-5)

Explanation:

we have

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

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

Multiply 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`

`2y=-10`

`y=-5`

The solution is the point (2,-5)