Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $x = 3y$.
(A) The given equation is $x = 3y$.
To express this in the form $ax + by + c = 0$,we subtract $3y$ from both sides:
$x - 3y = 0$
This can be written as:
$(1)x + (-3)y + 0 = 0$
Comparing this with the standard form $ax + by + c = 0$,we get:
$a = 1$
$b = -3$
$c = 0$
To express this in the form $ax + by + c = 0$,we subtract $3y$ from both sides:
$x - 3y = 0$
This can be written as:
$(1)x + (-3)y + 0 = 0$
Comparing this with the standard form $ax + by + c = 0$,we get:
$a = 1$
$b = -3$
$c = 0$
Explore More
Similar Questions
Give 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 SolutionFrom the choices given below,choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.
For Fig. $(i)$:
$(a)$ $y=x$
$(b)$ $x+y=0$
$(c)$ $y=2x$
$(d)$ $2+3y=7x$
For Fig. $(ii)$:
$(a)$ $y=x+2$
$(b)$ $y=x-2$
$(c)$ $y=-x+2$
$(d)$ $x+2y=6$
For Fig. $(i)$:
$(a)$ $y=x$
$(b)$ $x+y=0$
$(c)$ $y=2x$
$(d)$ $2+3y=7x$
For Fig. $(ii)$:
$(a)$ $y=x+2$
$(b)$ $y=x-2$
$(c)$ $y=-x+2$
$(d)$ $x+2y=6$
Easy
View SolutionWrite four solutions for the equation: $x = 4y$
Medium
View SolutionCheck whether $(0, 2)$ is a solution of the equation $x - 2y = 4$.
Easy
View SolutionWrite each of the following equations in the form $ax + by + c = 0$ and indicate the values of $a$,$b$ and $c$ in each case:
$(i)$ $2x + 3y = 4.37$
$(ii)$ $x - 4 = \sqrt{3}y$
$(iii)$ $4 = 5x - 3y$
$(iv)$ $2x = y$
$(i)$ $2x + 3y = 4.37$
$(ii)$ $x - 4 = \sqrt{3}y$
$(iii)$ $4 = 5x - 3y$
$(iv)$ $2x = y$
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