2x y z 2 3x 2y 3z 24 7x 4y z 20Solution2x y z 2 3x

2x + y z = 2

3x + 2y + 3z = 24

7x + 4y + z = 20

2x + y z = 2

3x + 2y + 3z = 24

7x + 4y + z = 20

Solve by elimination:

Step 1: Multiply first equation by 3/2 and add the result to the second equation. The result is:

2x + y z = 2

y/2 + 9z/2 = 27

7x + 4y + z = 20

Step 2: Multiply first equation by 7/2 and add the result to the third equation. The result is:

2x + y z = 2

y/2 + 9z/2 = 27

The last two equations are same so infinte solution

Let z = t :

y = 54 -9t

x = -2 -y +z = -2 -(54 -9t) +t = -2 -54 +9t +t = -58 +10t

Solution : x = -58 +10t ,y= 54-9t , z = t where t is any constant