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2.7x = 0.12y. Find the value of ๐‘ฆโˆ’๐‘ฅ๐‘ฆ+๐‘ฅ.

Question

2.7x = 0.12y. Find the value of ๐‘ฆโˆ’๐‘ฅ๐‘ฆ+๐‘ฅ.

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Solution

To find the value of ๐‘ฆโˆ’๐‘ฅ/๐‘ฆ+๐‘ฅ, we first need to express y and x in terms of each other using the given equation 2.7x = 0.12y.

Step 1: Express y in terms of x From the equation 2.7x = 0.12y, we can express y in terms of x as follows: y = 2.7x / 0.12 = 22.5x

Step 2: Substitute y in the expression ๐‘ฆโˆ’๐‘ฅ/๐‘ฆ+๐‘ฅ Now we substitute y = 22.5x into the expression ๐‘ฆโˆ’๐‘ฅ/๐‘ฆ+๐‘ฅ: (22.5x - x) / (22.5x + x) = 21.5x / 23.5x

Step 3: Simplify the expression The x's cancel out, leaving us with 21.5 / 23.5 = 0.9149 (rounded to four decimal places).

So, the value of ๐‘ฆโˆ’๐‘ฅ/๐‘ฆ+๐‘ฅ is approximately 0.9149 when 2.7x = 0.12y.

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