Question

Solve
X+y-z=4 , 3x + 2y +4z =17 , -x+5y+z=8

Answer 1

• (3, 2, 1)

Explanation:

Given the system:

• x + y - z = 4
• 3x + 2y + 4z = 17
• -x + 5y + z = 8

Add up the first and third equations, solve for y:

• x + y - z - x + 5y + z = 4 + 8
• 6y = 12
• y = 2

Substitute the value of y to get the system:

• x - z = 2
• 3x + 4z = 13

Multiply the first equation by 4 and add up the second equation to solve for x:

• 4x - 4z + 3x + 4z = 8 + 13
• 7x = 21
• x = 3

Find the value of z:

• z = x - 2 = 3 - 2 = 1

The solution is:

• (3, 2, 1)