To find the employee's earnings per hour from the equation \(10y = 80x\), we need to solve for \(y\).
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Start with the equation: \[ 10y = 80x \]
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Divide both sides by 10 to isolate \(y\): \[ y = \frac{80x}{10} \]
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Simplify the right side: \[ y = 8x \]
This means that the hourly earnings, represented by \(y\), are 8 times the value of \(x\). Without further information regarding \(x\), the employee's earnings per hour can be expressed as \(8x\). If \(x\) represents the number of hours worked, then the earnings per hour would be 8 times the number of hours (or if \(x\) is any other variable, you would substitute it in accordingly).
If \(x = 1\), for example, then \(y = 8\), indicating the earnings per hour would be $8.
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