Question

X+y+z=6
x+y=z
1+z=x

Explain in detail step by step

Answer 1

• The solution is (4, - 1, 3)

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Given system

• x + y + z = 6
• x + y = z
• 1 + z = x

Solution

Substitute the second equation into first one, find z:

• z + z = 6 ⇒ 2z = 6 ⇒ z = 3

Substitute the value of z into third equation and find x:

• 1 + 3 = x ⇒ x = 4

Substitute values of x and z into second equation and find y:

• 4 + y = 3 ⇒ y = 3 - 4 ⇒ y = - 1