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Hatshy [7]
3 years ago
5

What is the solutions for y=3x-5 and y=x-3

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer: x=1, y=-2

Step-by-step explanation:

System

y=3x-5

y=x-3

3x-5=x-3

3x-x=-3+5

2x=2

x=2:2=1

y=x-3=1-3=-2

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Standard error (SE)
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2 years ago
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2 years ago
The sum of twice a number and five is greater than three times the number minus three.
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x<8

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In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in
Yanka [14]
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day  = 3.2    miles
2nd day = 7.5    miles
3rd day  = 9.8    miles
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<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run? 

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span>A=\frac{38.4}{6}=6.4mi

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

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∴ \frac{38.4+x}{7}=6

Isolating x:

38.4+x=42

∴ x=42-38.4=3.6

Therefore, she need to run:

\boxed{3.6mi} in order to achieve the goal of 6 miles per day.

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3 years ago
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