3 years ago

How to solve 2/3(6x-9)=-34

1 answer:

5 0

$\frac{2}{3} (6x-9)=-34 \\ \\ \frac{2(6x - 9)}{3} =-34 \\ \\ \frac{2 \times 3(2x-3)}{3} =-34 \\ \\ \frac{6(2x - 3)}{3} = -34 \\ \\ 2(2x - 3) = -34 \\ \\ 2x - 3 - \frac{34}{2} \\ \\ 2x - 3 = -17 \\ \\ 2x -17 + 3 \\ \\ 2x = -14 \\ \\ x = - \frac{14}{2} \\ \\ x = -7 \\ \\ Answer: \fbox {x = -7}$

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how long will it take 14 machines to complete the task, given that 8 machines can complete the same task in 7 days?

torisob [31]

Answer:

4 days

Step-by-step explanation:

If 8 machines can complete a task in 7 days, how long will 14 machines take?

So, it is obvious that if the number of machines increases, the number of days taken to complete the task decreases; thus proving that this is an indirect / inverse proportion.

Let's take x as the number of days we need to find out.

8 machines : 7 days

14 machines : x days

14 × x = 8 × 7

14x = 56

x = $\frac{56}{14}$