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Zielflug [23.3K]
3 years ago
6

Help, ASAP! Please!!

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

a. Parallel

b. Not parallel

Step-by-step explanation:

Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.

a. y= 2x + 3                                                  y-2x=-3 becomes y = 2x - 3

m = 2                                                            m= 2

The slopes are the same so these are parallel lines.

b. 3x + y = 2 becomes y= -3x + 2               y = 1/3 x + 1/2

m = -3                                                          m= 1/3

The slopes are different so this is not parallel.

Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.

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A human has 1 head and 2 legs.
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Let's make two equations from what we know.

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There were a total of 196 legs.

Let's call humans 'x' and horses 'y'

The total number of heads were 74.
Humans have 1 head, and so do horses.

Our first equation is:
x + y = 74

There were a total of 196 legs. 
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Multiply the first equation by 2.

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At the horse racing event, there were 24 horses and 50 humans.

Your final answer is B. 24 horses and 50 humans.

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Step-by-step explanation:

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