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asambeis [7]
3 years ago
8

Classify the system of equations 1/3x+y+2=0 1/2x+y-5=0 A. intersecting B. parallel C. coincident

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

Answer:

A. intersecting


Step-by-step explanation:

write the equations in the from of y = mx + c

Where m = slope

            c = y-intercept.

1/3x + y + 2 = 0

1/3x + y = -2

y = -1/3x - 2

1/2x + y - 5 = 0

1/2x + y = 5

y = -1/2x + 5

The equations are not parallel

-1/3x - 2 = -1/2x + 5

1/2x - 1/3x = 5 + 2

1/6x = 7

x = 7× 6/1

   = 42

y =  -1/3×42 -2

  = -14 - 2

 = -16

The equations intersect at point (42,-16)

sergiy2304 [10]3 years ago
4 0

Answer: A. intersecting


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 see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.

 3. Therefore, the answer is the option A: Intersecting.



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Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

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