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il63 [147K]
3 years ago
11

4x - 7y = 3 x - 7y = 15

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0
\left \{ {{4x-7y=3} \atop {x-7y=15}} \right. \\\\
 \left \{ {{4x-7y=3} \atop {x=15+7y}} \right. \\\\ substitution\ method\\\\
4*(15+7y)-7y=3\\\\
60+28y-7y=3\\\\
60+21y=3\ \ \ \ | subtract\ \\\\
21y=-57\\\\
y=-\frac{57}{21}=-\frac{19}{7}\\\\
x=15+7*(-\frac{19}{7})=15-19=-4\\\\\ Solution :\  \left \{ {{y=-\frac{19}{7}} \atop {x=-4}} \right.
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Step-by-step explanation:

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<u>The correct answer is C. Aaron turns on the heat and the temperature of a conference room steadily increases. After the room becomes a comfortable temperature, Aaron turns off the heat and the temperature in the room stays the same for a while. Aaron’s coworker says it is too hot in the room, so Aaron turns on the air conditioner. The temperature in the room steadily decreases. Aaron gets cold again and turns the heat back on so that the temperature of the room steadily increases. Again, when the room becomes comfortable, Aaron turns off the heat and the temperature of the room stays the same.</u>

Step-by-step explanation:

1. Let's see what happens in the conference room the first 20 minutes, according to the graph:

The temperature increase from 65 °F to 75 °F. This fact discards immediately answer B, that mentions that "the temperature of the room decreases steadily to a comfortable temperature".

2. Let's see what happens in the conference room the next 20 minutes (between minutes 20 and 40), according to the graph:

The temperature remains at 75 °F, at a comfortable temperature, during these 20 minutes. This fact discards answer D because it mentions that the "room becomes too hot", which is not true because the additional 10 °F of increase is most likely, not "too much" and it also considers 65 °F as "too cold".

3. Let's see what happens in the conference room between minutes 40 and 50, according to the graph:

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4. Let's see what happens in the conference room between minutes 50 and 80, according to the graph:

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<u>This is a detailed explanation why we discard answers A, C and D and we select answer C as the right one.</u>

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