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WINSTONCH [101]
2 years ago
6

Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months will she replace b

oth the light bulb and the air filter?
Mathematics
1 answer:
Mazyrski [523]2 years ago
5 0
If she replaces the air filter every 6 months the light bulb will not be changed because there are still 3 months remaining. Therefore, no she will not replace both of them.
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What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
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Answer:

( - \frac{1}{3}, \frac{3}{4} )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = \frac{-6.5}{19.5} = - \frac{1}{3}

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = \frac{6}{8} = \frac{3}{4}

Solution is (- \frac{1}{3}, \frac{3}{4} )

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