Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $2x + 3y = 9.3\overline{5}$
(A) The given equation is $2x + 3y = 9.3\overline{5}$.
To express this in the standard form $ax + by + c = 0$,we subtract $9.3\overline{5}$ from both sides:
$2x + 3y - 9.3\overline{5} = 0$.
Comparing this with the general form $ax + by + c = 0$,we get:
$a = 2$
$b = 3$
$c = -9.3\overline{5}$
To express this in the standard form $ax + by + c = 0$,we subtract $9.3\overline{5}$ from both sides:
$2x + 3y - 9.3\overline{5} = 0$.
Comparing this with the general form $ax + by + c = 0$,we get:
$a = 2$
$b = 3$
$c = -9.3\overline{5}$
Explore More
Similar Questions
Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $y - 2 = 0$.
Easy
View SolutionWrite four solutions for the equation: $\pi x + y = 9$
Medium
View SolutionExpress the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $2x = -5y$.
Easy
View SolutionGive the geometric representations of $y = 3$ as an equation:
$(i)$ in one variable
$(ii)$ in two variables
$(i)$ in one variable
$(ii)$ in two variables
Medium
View SolutionThe cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs. $x$ and that of a pen to be Rs. $y$).
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo