To find the employee's earnings per hour from the equation \( 10y = 80x \), we will isolate \( y \) (the earnings per hour).
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Start with the equation: \[ 10y = 80x \]
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Divide both sides of the equation by 10 to solve for \( y \): \[ y = \frac{80x}{10} \]
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Simplify the right side: \[ y = 8x \]
This means that the employee's hourly earnings \( y \) depend on \( x \). However, the exact value of \( y \) depends on the value of \( x \) (which is not provided in your question).
If \( x \) is equal to 1 (for instance, if we consider \( x \) as the number of hours worked), then the employee's earnings per hour would be: \[ y = 8 \times 1 = 8 \]
Therefore, if \( x \) represents the number of hours worked, the employee earns $8 per hour. If you have a specific value for \( x \), you can substitute it into the equation \( y = 8x \) to find the exact hourly earnings.