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lukranit [14]
3 years ago
15

Solve linear system using substitution y=6-2x 7x-y=3

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \\\\substitute\ first\ equation\ into\ the\ second\\\\
7x-(6-2x)=3\\\\
7x-6+2x=3\\\\
9x-6=3\ \ \ | add\ 6\\\\
9x=9\ \ \ | divide\ by\ 9\\\\
x=1\\\\
y=6-2*1=6-2=4
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Answer:

Step-by-step explanation:

information from the range

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Information from the median

The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must  be 15 as well..

So what do we know so far.

5      15 15         31

Information from the mean

There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96

What do we have so for?

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Getting the answer.

The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).

So now we have

5 13 15 15 ___ 31

But from the mean we need 30

30 - 13 = 17

And we have a winner because 17 is above 15.

Answer

5 13 15 15 17 31

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