Question

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

Forms of linear equations
ANSWERED
asked 2021-05-11

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 \(y = mx + b\).

Answers (1)

2021-05-12

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 \(y=mx+b.\)
\(akx+bky=dk\)
\(bky=-akx+dk\)
\(y=-(ak/bk)x+dk/bk\)

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