Question

Write each of the following equation in the form of ax+ by +c= 0 and indicate the values of a, b & c in each case... ​

Answer 1

Step-by-step explanation:

X/2-Y/3-5=0

A=1/2

B=1/3

C= - 5

Answer 2

$\huge \fbox \purple{Answer:}$

$\textbf{We Have ,} \frac{x}{2} - \frac{y}{3} = 5$

$⇒ \frac{3x - 2y}{6} = 5⇒3x - 2y = 30$

$⇒3x - 2y - 30 = 0$

$\text{On Comparing this equation with}$

$= ax - by + c = 0$

$\textbf{We Get}$

$⇒a = 3$

$⇒b = - 2$

$⇒c = - 30$

$\textbf{Note:}$

$\text{The Representation of any equation in the form}$

$⇒ax + by + c = 0 \: \text{is Not unique}$

$\textbf{For Example:}$

$⇒ \frac{x}{2} - \frac{y}{3} = 5 \: \text{can \: also \: be \: written \: as}$

$= \frac{x}{2} - \frac{y}{3} - 5 = 0$

$\textbf{:Hence} \:$

$⇒a = \frac{1}{2}$

$⇒b = \frac{1}{3}$

$⇒c = - 5$

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