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Free CBSE - Class 9 Mathematics - Linear Equations in Two Variables worksheets

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1.
The 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 $x$ and that of a pen to be $y$).
2.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(i) $2x + 3y = 9.3\overline{5}$
3.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(ii) $x - \frac{y}{5} - 10 = 0$
4.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(iii) $-2x + 3y = 6$
5.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(iv) $x = 3y$
6.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(v) $2x = -5y$
7.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(vi) $3x + 2 = 0$
8.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(vii) $y - 2 = 0$
9.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case:
(viii) $5 = 2x$
10.

Which one of the following options is true, and why? $y = 3x + 5$ has

1.

a unique solution

2.

only two solutions

3.

infinitely many solutions

- OR -

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