Write each of following equations in form ax + by + c = 0 and indicate values of a , b and c in each

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4. Linear Equations in Two Variables

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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 :

$(i)$ $2 x+3 y=4.37$

$(ii)$ $x-4=\sqrt{3} y$

$(iii)$ $4=5 x-3 y$

$(iv)$ $2 x=y$

Option A

Option B

Option C

Option D

Solution

$(i)$ $2x + 3y = 4.37$ can be written as $2x + 3y -4.37 = 0$.

Here $a = 2$, $b = 3$ and $c = -\, 4.37$.

$(ii)$ The equation $x-4=\sqrt{3} y$ can be written as $x-\sqrt{3} y-4=0 .$

Here $a=1$, $b=-\,\sqrt{3}$ and $c=-\,4$

$(iii)$ The equation $4=5 x-3 y$ can be written as $5 x-3 y-4=0 .$

Here $a=5, b=-3$ and $c=-\,4 .$

$(iv)$ The equation $2x = y$ can be written as $2x -y + 0 = 0$.

Here $a = 2, \,b = -\,1$ and $c = 0.$

Standard 9

Mathematics

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