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.

Kyran Hudson 2020-11-05 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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avortarF
Answered 2020-11-06 Author has 113 answers
We have to study if a system of linear equations in three variables x,y,z can contain an equation in the form y=mx+b
Ax+By+Cz=D
where A,B,C,DR
The equations of a linear system with 3 variables are of the form:
A=m
B=1
C=0
D=n
A,B,C,D can have the values:
mxy=n
In this particular case, the equation is written:
mxy+y+n=n+y+n
y=mx+n
We add y+n on both sides and we have:
Thus it is possible to have equations in the form y=mx+n in a linear system with 3 variables which means the statement doesnt make sense.
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