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CBSE - Class 9 Mathematics Linear Equations in Two Variables Worksheet

1.
Write four solutions for each of the following equations:
(i) $2x + y = 7$
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:
(vii) $y - 2 = 0$
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:
(ii) $x - \frac{y}{5} - 10 = 0$
5.
Check which of the following are solutions of the equation $x - 2y = 4$ and which are not:
(ii) $(2, 0)$
6.
Check which of the following are solutions of the equation $x - 2y = 4$ and which are not:
(i) $(0, 2)$
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:
(v) $2x = -5y$
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:
(vi) $3x + 2 = 0$
9.
Write four solutions for each of the following equations:
(iii) $x = 4y$
10.
Write four solutions for each of the following equations:
(ii) $\pi x + y = 9$
11.
Check which of the following are solutions of the equation $x - 2y = 4$ and which are not:
(iii) $(4, 0)$
12.
Check which of the following are solutions of the equation $x - 2y = 4$ and which are not:
(iv) $(\sqrt{2}, 4\sqrt{2})$
13.
Check which of the following are solutions of the equation $x - 2y = 4$ and which are not:
(v) $(1, 1)$
14.
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) $x = 3y$
15.
Find the value of $k$, if $x = 2$, $y = 1$ is a solution of the equation $2x + 3y = k$.
16.
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) $-2x + 3y = 6$
17.

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

a.

a unique solution

b.

only two solutions

c.

infinitely many solutions

18.
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 $y$).
19.
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) $5 = 2x$

Worksheet Answers

17.

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