Question

Find the solution to the system of equations.

x+y+z=22
y+z=16
z=6

If someone could explain to me how to do this I would really appreciate it! Thank you.

Answer 1

Plug in the 6 for "z" in the second equation, because then you're left with only one variable:
y+6=16 so y=10
Then, plug in 6 and 10 into the first equation and solve for x:
x+16=22
x=6
y=10
z=6

Answer 2

first plug z=6 in the second equation and you can find y:
y + 6 = 16
so y = 10
now plug z=6 and y=10 in the first equation:
x + 10 + 6 = 22
x = 22-10-6 = 6

x=6,y=10,z=6

Answer 3

z=6
y+6 = 16 --> y = 10
x + 10 + 6 = 22 --> x = 6