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Alex73 [517]
3 years ago
11

The Smith family of 4 completes 8 loads of laundry each week. They estimate the total cost (energy, water, and detergent) is $7.

76 for these 8 loads of laundry. The addition of another child increases the weekly laundry to 11 loads. Assuming the same basic laundry costs, what is the total cost of the new weekly laundry? Round to the nearest cent.
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer: 10.67

Step-by-step explanation:

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Solve the system of linear equation 8X plus 5Y equals 18 and 6X plus Y equals -2 by using the linear Combination method Emmaus d
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\text{The solution is } x = \frac{-14}{11} \text{ and } y = \frac{62}{11}

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

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

8x + 5y = 18 ------- eqn 1

6x + y = -2 -------- eqn 2

Multiply eqn 2 by -5

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Add eqn 1 and eqn 3 so that y terms gets eliminated

8x + 5y = 18

-30x -5y = 10

( + ) --------------

-22x = 28

Divide both sides by -22

x = \frac{28}{-22}\\\\x = \frac{-14}{11}

Substitute the x value in eqn 1

8(\frac{-14}{11}) + 5y = 18\\\\\frac{-112}{11} + 5y = 18\\\\5y = 18 + \frac{112}{11}\\\\5y = \frac{310}{11}\\\\y = \frac{62}{11}

\text{Thus the solution is } x = \frac{-14}{11} \text{ and } y = \frac{62}{11}

8 0
3 years ago
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Answer:

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Step-by-step explanation:

4x+6=10

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Step-by-step explanation:

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