2points
find the solution to the system of equations.
x+ y + z= 16
y+ z = 13
z=
5

Step-by-step explanation:

Maybe switching the order you read this system of equations will help.

An important concept in this question is the idea of substitution: if there is a value with a known solution, substituting the known solution in for the original unknown may help solve the equation. I'll show you what I mean with the first step for solving this question.Let's look at these two first.

Solving for 2 different unknown values in an equation is impossible, so we must get rid of one of the unknowns, thats where comes into play. If , then if we substitute into our value in , then we only have to solve for , something that we can pretty easily do.

OR

The first example above is normal substitution your teacher expects you to do in this question, but I just wanted to show that substitution isn't the only option here.Now we know that:Let's solve the last equation here by doing substitution again.