Question

if x-2y=6, find the greatest value of y

Answer 1

Answer on Question #50545 – Math – Differential Calculus | Equations

Task:

if $x - 2y = 6$, find the greatest value of $y$

Solution:

It follows $y = \frac{x - 6}{2}$ from equality $x - 2y = 6$.

Graph of $y$ as function of $x$ is shown in the following figure:

This is a linear function. Because the domain of this function is not mentioned in the question, then assume that the function varies from $-\infty$ to $+\infty$. Therefore, the greatest value of $y$ is $\infty$.

If $x$ is defined over $[A; B]$, then the greatest value of $y$ will be $\frac{B - 6}{2}$.

If $y$ is defined over $[C; D]$, then the greatest value of $y$ will be $D$.

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