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AleksandrR [38]
3 years ago
15

What is the solution to the system of equations 3x+2y=39 5x-y=13

Mathematics
2 answers:
muminat3 years ago
7 0

Solve: 3x + 2y = 39; 5x - y = 13


I will try to solve your system of equations:

5x - y = 13; 3x + 2y = 39


Solve 5x - y = 13 for y:


5x - y + - 5x = 13 + - 5x (add - 5x to both sides):


- y = - 5x + 13


- y/ - 1 = - 5x + 13/ - 1 (Divide both sides by - 1):



y = 5x - 13



Substitute 5x - 13 for y in 3x + 2y = 39


3x + 2y = 39


3x + 2(5x - 13) = 39


13x - 26 = 39 (Simplify both sides of the equation)


13x - 26 + 26 = 39 + 26 (Add 26 to both sides):


13x = 65


13x/13 = 65/13 (Divide both sides by 13)


x = 5




Substitute 5 for X in Y = 5x - 13


y = 5x - 13


y = (5)(5) - 13


y = 12 (Simplify both sides of the equation):



Answer: y = 12 and x = 5






Hope that helps!!!!! (Answer: y = 12 and x = 5).



Vadim26 [7]3 years ago
4 0

Hiya. I'm going to rewrite the second equation.

By subtracting 5x by both sides, I'll be able to have y by itself:

-y=-5x+13

I'm going to then divide both sides by -1 to get:

y=5x-13.


Then, I'm going to plug that equation into the first equation

3x+2(5x-13)=39

Factor:

3x+10x-26=39

Combine like terms:

13x=65

Divide both sides by 13 to get x by itself to get x=5


Plug this back into the equation of y=5x-13

y=5(5)-13 to get y=12

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Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

<em>question a)</em>

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

<em>question b)</em>

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

<em>we know if you didn't spend 100 dollars or less, you must have spent more than that. </em>

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<em>question c)</em>

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

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<em>question d)</em>

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

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How do you write range on a graph?
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The range of a function is the set of all possible outputs.

When the quadratic functions are in standard form, they generally look like this:

f(x) = ax^{2}  + bx + c

If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−\frac{b}{2a}). For example, consider this function:

f(x) = -2x^{2} + 8x -3\\

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Then, we plug this in:

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a is negative, so the range is all real numbers less than or equal to 5.

Learn more about range at

brainly.com/question/2264373

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Step-by-step explanation:

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