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3 years ago

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Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 n

otebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is 5 x + 3 y = 21. What is the second equation needed to solve the system? 5 x minus 6 y = 28 6 x minus 5 y = 28 5 x + 6 y = 28 6 x + 5 y = 28

1 answer:

brilliants [131]3 years ago

3 0

Answer: 6x+5y=28

Step-by-step explanation:

Looking at the first equation, we can tell that x stands for notebooks and y stand for pens. Since this talks about the total cost with the amount of products they bought, we can automatically eliminate the subtracting answer choices.

Now, we know that 6x+57=28 is the correct answer because Sonja bought 6 notebooks and 5 pens. This becomes 6x+5y.

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$\implies |EF|=\sqrt{a^2+b^2+c^2+2ab}$

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The slope of EG is undefined hence it is a vertical line.

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The slope of DF is zero, hence it is a horizontal line.

A horizontal line meets a vertical line at 90 degrees.

Conclusion:

Since $|DG|\cong |GF| \cong |EF| \cong |DE|$ and $DF \perp FG$ , DEFG is a rhombus

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The slope of DE is $m_{DE}=\frac{2c-c}{0-(-a-b)}$

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The slope of FG is $m_{FG}=\frac{c-0}{a+b-0}$

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