Question

1). Linear Combination (SHOW WORK)

Answer 1

Answer:

Part 1) The solution of the system of equations is (2,-5)

Part 2) The solution of the system of equations is (2,4)

Step-by-step explanation:

Part 1) Linear combination

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

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

$2y=-4-6$

$2y=-10$

$y=-5$

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

Part 2) By graph

$y=(1/2)x+3$ -----> equation A

$-3x+y=-2$ -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection point is (2,4)

therefore

The solution of the system of equations is the point (2,4)

see the attached figure