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CBSE - Class 9 > Mathematics > Linear Equations in Two Variables Worksheets

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
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Chapters in CBSE - Class 9 Mathematics

Areas of Parallelograms and Triangles Worksheet Circles Worksheet Constructions Worksheet Coordinate Geometry Worksheet Heron’s Formula Worksheet Introduction to Euclid’s Geometry Worksheet Lines and Angles Worksheet Number Systems Worksheet Polynomials Worksheet Probability Worksheet Quadrilaterals Worksheet Statistics Worksheet Surface Area and Volumes Worksheet Triangles Worksheet

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