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Vesna [10]
3 years ago
11

Which classification describes the system of linear equations?

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

Inconsistent

Step-by-step 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=\frac{1}{2}x-\frac{1}{2}

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

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