In this equation, find the value of $y$ when $x=1/5$. [tex]y=7-5x[/tex]
Answer (2)
Substitute x = 5 1 into the equation y = 7 − 5 x .
Simplify the expression: y = 7 − 5 × 5 1 .
Calculate the value of y : y = 7 − 1 = 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.
Substituting the Value of x To find the value of y , we substitute x = 5 1 into the equation: y = 7 − 5 × 5 1
Calculating the Value of y Now, we simplify the expression to find the value of y :
y = 7 − 5 × 5 1 = 7 − 1 = 6
Final Answer Therefore, when x = 5 1 , the value of y is 6.
Examples
Understanding linear equations like y = 7 − 5 x is crucial in many real-world scenarios. For instance, imagine you are selling lemonade. You start with 7 a l re a d y in yo u r p oc k e t , b u t e a c h c u s t o m ercos t syo u \frac{1}{5} in s u ppl i es . T h ee q u a t i o nh e lp syo u c a l c u l a t e h o w m u c hm o n eyyo u ha v e l e f t a f t erser v in g a cer t ainn u mb ero f c u s t o m ers . I f yo u ser v eo n ec u s t o m er ( x = \frac{1}{5}$), you'll have $6 left.
When substituting x = 5 1 into the equation y = 7 − 5 x , we calculate that y = 6 . This is achieved by simplifying the expression through basic arithmetic. Therefore, the final value of y is 6.
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