Question

2x + y + z = 9
-x-y +z = 1
3x - y +z=9

Answer 1

x = 2

y = 1

z = 4

Explanation:

Step 1:

2x + y + z = 9

3x - y = z = 9

5x + 2z = 18 <-- add x and y

Step 2:

-x -y + z = 1

2x + y + z = 9

x + 2z = 10

Step 3:

-(x + 2z = 10) = -x - 2z = -10

5x + 2z = 18

-x - 2z = -10

4x = 8

x = 2

Step 4: solve for z

-x - 2z = -10 <-- Plug x

-(2) - 2z = -10

-2z = -8

z = 4

Step 5: solve for y

2x + y + z = 9

2(2) + y + 4 = 9

8 + y = 9

y = 1

Answer 2

603 hope this helps