Question

Solve the system of equations in three variables

Answer 1

We start from the third equation:

4z = 16 divide both sides by 4

z = 4

Put the value of z to the second equation:

y + 4 = 5 subtract 4 from both sides

y = 1

Put the values of y and z to the first equation:

3x + 2(1) - 4 = 4

3x + 2 - 4 = 4

3x - 2 = 4 add 2 to both sides

3x = 6 divide both sides by 3

x = 2

Answer: x = 2, y = 1, z = 4 → (2, 1, 4)