In this equation, find the value of $y$ when $x=1 / 5$.
$y=7-5 x$
Answer (2)
Substitute x = 5 1 into the equation y = 7 − 5 x .
Simplify the expression: y = 7 − 5 × 5 1 = 7 − 1 .
Calculate the value of y : y = 6 .
The value of y when x = 5 1 is 6 .
Explanation
Understanding the Problem We are given the equation y = 7 − 5 x and asked to find the value of y when x = 5 1 . This is a straightforward substitution problem.
Substitution Substitute x = 5 1 into the equation y = 7 − 5 x :
y = 7 − 5 × 5 1
Simplification Now, we simplify the expression: y = 7 − 1 y = 6
Final Answer Therefore, when x = 5 1 , the value of y is 6.
Examples
Imagine you are tracking the amount of water in a tank that starts with 7 liters and decreases by 5 liters for every unit of time. If you want to know how much water is left after \frac{1}{5} of a time unit, you can use the equation y = 7 − 5 x , where y is the amount of water left and x is the fraction of the time unit. This problem helps you calculate the remaining water, which is useful in resource management and planning.
When substituting x = 5 1 into the equation y = 7 − 5 x , we find that y = 6 . This is done by performing the arithmetic operations after substituting the value. Therefore, the value of y is 6 .
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