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Classify the system of equations 1/3x+y+5=0 1/2x+y-3=0
1 answer:
Answer: Consistent and Independent.
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can observe in the graph the lines intersect each other, this means that the system of equation has one solution.
3. By definition, when a system of equations has one solution, it is classified as Consistent and Independent.
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For
Choose a point in the lower or upper half plane created by the line
The above line is the one which goes through the origin.
Now testing (1,0) yields,
That is,
This statement is true. So we shade the lower half of
For
We test for the origin because, it is not passing through the origin.
This yields
This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph