Solve for $y$:
$10.2=0.6 y$
Answer (2)
Divide both sides of the equation by 0.6 to isolate y .
Simplify the equation to get y = 0.6 10.2 .
Calculate the value of the fraction.
The solution is 17 .
Explanation
Understanding the Problem We are given the equation 10.2 = 0.6 y and our goal is to solve for y . This means we want to isolate y on one side of the equation.
Isolating y To isolate y , we need to divide both sides of the equation by 0.6 . This gives us: 0.6 10.2 = 0.6 0.6 y
Simplifying the Equation Simplifying the right side of the equation, we have: 0.6 10.2 = y
Calculating the Value of y Now, we perform the division on the left side of the equation: y = 0.6 10.2 = 17
Final Answer Therefore, the solution for y is 17 .
Examples
Imagine you're buying apples at a store. Each apple costs $0.6, and your total bill is $10.2. The equation 10.2 = 0.6 y helps you determine how many apples you bought. Solving for y tells you the number of apples you purchased. This kind of problem is useful in everyday situations where you need to calculate quantities based on a fixed price per item.
To solve for y in the equation 10.2 = 0.6 y , divide both sides by 0.6 to isolate y . This results in y = 0.6 10.2 , which calculates to y = 17 .
;
