# A system of linear equations in three variables, x, y, and z cannot contain an equation in the form y = mx + b.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. A system of linear equations in three variables, x, y, and z cannot contain an equation in the form y = mx + b.

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

dieseisB

The general form of a system in three variables x,y,z has equation in the general form:
akx+bky+ckz=dk
If one of the coefficients ck of the variables z is zero, we can isolate y and bring that equation to the form y=mx+b.
akx+bky=dk
bky=-akx+dk
$$y=-(\frac{ak}{bk})x+\frac{dk}{bk}$$