Question

Classify this system of linear equasions

2x-6y=18
-9+x+3y

A. Consistant, Dependant
B. Consistant, Independant
C. Inconsistant

Answer 1

retype it.

Answer 2

There is no equal sign in the second equation. Where should it be?

Answer 3

\[2x -6y =18\]
\[-9+x +3y\]

Answer 4

Once again, the second line contains an expression, not an equation. You need an equal sign in the second line.

Answer 5

Should be

\[-3y =9+3y\]
\[2x -6y =18\]

Answer 6

or

\[-6y =-2x +18\]

Answer 7

The first equation is supposed to have y in both terms. There is no x in it?

Answer 8

\[y =\frac{ 1 }{ 3 }x +18\]
\[y =\frac{ x }{ 3 }+3\]

Answer 9

Thats the solution I got but I'm not sure how to classify solutions

Answer 10

These two equations have the same slope and different y-intercepts. They represent parallel lines. Parallel lines do not intersect. That means there is no point that is a solution to both equations.

Now let's look at what your choices mean.

Answer 11

(Notice the spelling of consistEnt, inconsistEnt, independEnt, dependEnt.)

This is what these terms mean:

A. Consistent, Dependent - both equations are the same equation. There is an infinite number of solutions.

B. Consistent, Independent - there are two different equations whose lines intersect at one point. There is one solution.

C. Inconsistent - the equations represent parallel lines. The lines do not intersect, and there is no solution.

Answer 12

SO C. then? because they are parallel?