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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

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

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