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Which classification describes the system of linear equations?

{x−2y=1 y=1/2x+3


a) consistent independent

b) inconsistent

c) consistent dependent

2 Answers

7 votes

Answer:

inconsistent

Explanation:

Which classification describes the system of linear equations? {x−2y=1 y=1/2x+3 a-example-1
User RogerTheShrubber
by
7.7k points
3 votes

Answer:

Inconsistent

Explanation:

Consistent independent means that there is only one solution; ie one place where the 2 lines intersect.

Inconsistent means that the lines will NEVER cross because they are parallel

Consistent dependent means that the 2 lines, when solved for y, are the exact same line (same slope, same y-intercept)

In our system, one of the equations is already solved for y, so let's solve the other one for y:


x-2y=1 so


-2y=-x+1 and


y=(1)/(2)x-(1)/(2)

The slopes of the 2 lines are the same; therefore, they are parallel and will never intersect. Inconsistent system.

User Martin Bring
by
8.4k points

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