Question

X+y+4z=4 ; 2x+3y+6z=5 ; -3x+3y+z=-4​

Answer 1

Step-by-step explanation:

Let say that

x+y+4z=4 ---1

2x+3y+6z=5-------2

-3x+3y+z=-4--------3

Now taking eq 1 and 2

multiply eq. with 2

2x+2y+8z=8

2x+3y+6z=5

we get -y+2z=3 ------4

Then

taking eq 2 and 3

2x+3y+6z=5

-3x+3y+z=-4

Multiplying eq 2 by 3 and eq. 3 by 2

6x+9y+18z=15

-6x+6y+2z=-8

we get

15y+20z=7 ------5

Now solve eq 4 and 5

-y+2z=3

15y+20z=7

Now Multiply eq 4 by 15

-15y+30z=105

15y+20z=7

Now solve and get the answer