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4. Linear Equations in Two Variables
medium
Draw the graph of each of the following linear equations in two variables
$2 x-3 y=0$
Option A
Option B
Option C
Option D
Solution
$2 x-3 y=0$
$\therefore 3 y=2 x$
$\therefore y=\frac{2}{3} x$
For $x=0,$ we get
$y=\frac{2}{3}(0)=0$ i.e., $y=0$
For $x=3,$ we get
$y=\frac{2}{3}(3)=2$ i.e., $y=2$
For $x=-3,$ we get
$y=\frac{2}{3}(-3)=-2$ 1.e.. $y=-2$
We can represent these solutions in the tabular form as below
$\begin{array}{|c|c|c|c|} \hline x & 0 & 3 & -3 \\ \hline y & 0 & 2 & -2 \\ \hline \end{array}$
Standard 9
Mathematics
