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

Yulia 2021-09-14 Answered
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.

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Expert Answer

dieseisB
Answered 2021-09-15 Author has 3175 answers

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
\(y=-(\frac{ak}{bk})x+\frac{dk}{bk}\)

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