ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 31

MEDIUM

9th ICSE

IMPORTANT

Earn 100

A boy walks to a picnic spot from his house in $6$ hours, but he can travel the same distance on his cycle in $2$ hours. If his average cycling speed is $7$ kilometres per hour faster than his average walking speed, find his average walking speed and his average cycling speed.

Important Questions on Simultaneous Linear Equations in Two Variables

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 32

A man travels

600 km

partly by train and partly by car. If he covers

400 km

by train and the rest by car, it takes him

6

hours and

30

minutes. But if he travels

200 km

by train and the rest by car, he takes half an hour longer. Find the speed of the train and that of the car.

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 1

Solve:

$y + 2 x = 5$

$3 y - 5 x = 4$

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 2

Solve:

$\frac{1}{2} x + 2 y = 16$

$2 x + \frac{1}{2} y = 19$

EASY

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 3

Which ordered pair is a solution of the system?

$\{\begin{matrix} 2 x - y = - 2 \\ \frac{1}{3} y = x \end{matrix}$

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 4

Which of the following problems could be solved by finding the solution of the given system?

$2 x + 2 y = 56, y = \frac{1}{3} x$

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 5

What is the solution of the equation

x - y = 0.9

and

11 {(x + y)}^{- 1} = 2

?

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 6

A number consists of two digits, whose sum is

10

. If

18

is subtracted from the number, digits of the number are reversed. What is the product of the digits?

MEDIUM

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Chapter Test>Q 7

If

\frac{2 x - 3 y + 1}{2} = \frac{x + 4 y + 8}{3} = \frac{4 x - 7 y + 2}{5}

, then what is

(x + y)

equal to?