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Mashcka [7]
3 years ago
12

Help me on number problem 3 please !

Mathematics
1 answer:
Elenna [48]3 years ago
6 0

Answer:  x-intercept :12 & y-intercept ;-8


Step-by-step explanation:To find the x-intercept ,substitute in 0 for y and solve for x .

8x-12y=96

8x-12(0)=96

8x=96 (divide both # by 8)

x=12

To find the y-intercept ,substitute in 0 for x and solve for y .

8(0)-12y=96

-12y=96(Divide by -12 both )

y=-8


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B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

<u>Part A:</u> To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

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Part B: Substitute y = (x + 25) into equation 1

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x + x + 25 = 55

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Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

Learn more about the system of equations on:

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