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kherson [118]
2 years ago
11

a system of two linear equations has infinitely many solutions. one of the equations in the system is y-3x=-3.write an equation

that can be used to complete the system so that it has infinitely many solutions.solve your system using any method to show that it has infinitely many solutions.
Mathematics
1 answer:
Troyanec [42]2 years ago
8 0
The other equation could be 

2y - 6x = -6

Solving:-

y - 3x = -3..........(1)
2y - 6x = -6........(2)
multiplyng the first equation by 2 gives
2y - 6x = -6

so equations (1) and (2) are the same equation
If we graph them they will be the same line 
Every point on that line will be a solution.

So there are infinitely many solutions
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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B28%7D%20%2B%20%5Cfrac%7B1%7D%7B70%7D%20%2B%20%5Cfrac%7B1%7D%7B130%7D%20%2B%20
malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

\frac{9100}{138320}

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}

More can be learned about the addition of fractions at brainly.com/question/78672

#SPJ1

5 0
1 year ago
According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu
KatRina [158]

Answer:  0.1

Step-by-step explanation:

Given :  A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.

In other words, sample size : <em>n</em>=1040

Number of items returned : <em>x</em>= 8

Let <em>p</em> be the proportion of items returned for the population of sales transactions at the Houston store.

As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :

\hat{p}=\dfrac{x}{n}=\dfrac{8}{80}=0.1

As we know that , <em>the sample proportion is the best estimate of the population proportion.</em>

Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.

8 0
3 years ago
Ella ran 6 times around her school building. Then she ran 4 miles home.
Snowcat [4.5K]

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

6 0
3 years ago
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cricket20 [7]
The fact that it can turn its head 180 degrees is just extra information. They tell us that it is 10.5 cm long. What they're asking for is the length in a mixed number, so 10.5 as a mixed number.
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2 years ago
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Mathematic 18 don’t understand
Dahasolnce [82]

Answer:

8 x 10¹³ is your answers hopes it's helpful to you

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