Solve the system of equations 4x+3y+5z=6 6x+8y+6z=4 4x+2y+6z=8

The solution of the system of equations are

x=1,y=-1,z=1

Step-by-step explanation:

we have

4x+3y+5z=6 ----> solve for z

5z=6-4x-3y

z=(6-4x-3y)/5 ----> equation A

6x+8y+6z=4 ----> equation B

4x+2y+6z=8 ----> equation C

Substitute equation A in equation B and equation C

6x+8y+6((6-4x-3y)/5)=4

Multiply by 5 both sides

30x+40y+36-24x-18y=20

6x+22y=-16 ----> equation D

4x+2y+6((6-4x-3y)/5)=8

Multiply by 5 both sides

20x+10y+36-24x-18y=40

-4x-8y=4 ----> equation E

Solve the system of equations D and E by graphing

The intersection point both graphs is the point (1,-1)

see the attached figure

so

x=1. y=-1

Find the value of z

z=(6-4(1)-3(-1))/5

z=1

therefore

The solution of the system of equations are

x=1,y=-1,z=1

answer: 7

step-by-step explanation:

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step-by-step explanation:

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