Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 10

EASY

9th CBSE

IMPORTANT

Earn 100

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid $₹ 27$ for a book kept for seven days. If fixed charges are $₹ x$ and per day charges are $₹ y$ . Write the linear equation representing the above information.

Important Questions on Linear Equations in Two Variables

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 11

A number is

27

more than the number obtained by reversing its digits. If its unit's and ten's digit are

x

and

y

respectively, write the linear equation representing the above statement.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 12

The sum of a two digit number and the number obtained by reversing the order of its digits is

121

. If units and ten's digit of the number are

x

and

y

respectively, then write the linear equation representing the above statement.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 13

Draw the graph of the equation

2 x + y = 6

. Shade the region bounded by the graph and the coordinate axes. Also, find the area of the shaded region.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 14

Draw the graph of the equation

\frac{x}{3} + \frac{y}{4} = 1 .

Also, find the area of the triangle formed by the line and the coordinates axes.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 15

Draw the graph of

y = | x |

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 16

Draw the graph of

y = | x | + 2

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 17

Draw the graphs of the following linear equations on the same graph paper:

$2 x + 3 y = 12, x - y = 1$

Find the coordinates of the vertices of the triangle formed by the two straight lines and the area bounded by these lines and $x$ -axis.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 7 - Linear Equations in Two Variables>EXERCISE>Q 18

Draw the graphs of the linear equations

4 x - 3 y + 4 = 0 a n d 4 x + 3 y - 20 = 0 .

Find the area bounded by these lines and

x

-axis.