Write each of the following equations in the form $ax + by + c = 0$ and indicate the values of $a$,$b$ and $c$ in each case:
$(i)$ $2x + 3y = 4.37$
$(ii)$ $x - 4 = \sqrt{3}y$
$(iii)$ $4 = 5x - 3y$
$(iv)$ $2x = y$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $(i)$ The equation $2x + 3y = 4.37$ can be written as $2x + 3y - 4.37 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = 3$,and $c = -4.37$.
$(ii)$ The equation $x - 4 = \sqrt{3}y$ can be written as $x - \sqrt{3}y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 1$,$b = -\sqrt{3}$,and $c = -4$.
$(iii)$ The equation $4 = 5x - 3y$ can be written as $5x - 3y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 5$,$b = -3$,and $c = -4$.
$(iv)$ The equation $2x = y$ can be written as $2x - y + 0 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = -1$,and $c = 0$.

Explore More

Similar Questions

Yamini and Fatima,two students of Class $IX$ of a school,together contributed Rs. $100$ towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. $x$ and Rs. $y$.) Draw the graph of the same.

For each of the graphs given in the figure,select the equation whose graph it is from the choices given below:
$(a)$ For Fig. $(i)$,
$(i)$ $x+y=0$ (ii) $y=2x$ (iii) $y=x$ (iv) $y=2x+1$
$(b)$ For Fig. (ii),
$(i)$ $x+y=0$ (ii) $y=2x$ (iii) $y=2x+4$ (iv) $y=x-4$
$(c)$ For Fig. (iii),
$(i)$ $x+y=0$ (ii) $y=2x$ (iii) $y=2x+1$ (iv) $y=2x-4$

Check whether the point $(\sqrt{2}, 4\sqrt{2})$ is a solution of the equation $x - 2y = 4$.

If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$,find the value of $a$.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $2x = -5y$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo