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amid [387]
3 years ago
9

A student read a total of 72 books over the course of a year. Since there are 12 months in a year, how many books did the studen

t average each month?
Mathematics
1 answer:
aniked [119]3 years ago
8 0

Divide total books by number of months:

72 / 12 = 6 books per month.

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Option A

The solution is (0, \frac{-1}{4})

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

3x + 6y = 1 ------ eqn 1

x - 4y = 1 ------ eqn 2

We have to find solution to system of equations

We can use substitution method

From eqn 2,

x = 1 + 4y -------- eqn 3

Substitute eqn 3 in eqn 1

3(1 + 4y) + 6y = 1

3 + 12y + 6y = 1

18y = 1 - 3

18y = -2

Divide both sides by 18

y = \frac{-2}{18}\\\\y = \frac{-1}{4}

Substitute the above value of y in eqn 3

x = 1 + 4 \times \frac{-1}{4}\\\\x = 1-1\\\\x = 0

Thus solution is (0, \frac{-1}{4})

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