10x + 7y=1 -5x-7y=24

1 answer:

8 0

Okay, so since both y values share the same number, let's add both equations so the y values cancel out leaving us to solve for x.

10x+(-5x)=5x

7y+(-7y)=0

1+24=25

Now we have 5x=25

divide both sides by 5 and we have x=5

Now that we know x=5, we can plug it into one of the problems to find y.

Let's do 10(5) +7y=1

50+7y=1 subtract 5 and we get 7y=-49

divide -7 from both sides and we get y=-7

so there you have it x=5 and y=-7

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$volume = \pi \times {r}^{2} \times h \\ volume = 3.142 \times (10 \div 2)^{2} \times 18 \\ volume \: = 3.142 \times 25 \times 18 \\ volume = 1413.9{cm}^{3}$