EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 1

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10th Madhya Pradesh Board

IMPORTANT

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When $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ then the system of equation $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

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Important Questions on Pair of Linear Equations in Two Variables

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 2

In equation

3 x + 2 y = 7

, if

y = 2

then, write the value of

x

.

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 3

Solve the following system of equation by substitution method:

$x + y = 7$

$3 x - 2 y = 11$

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 4

If in

△ A B C, ∠ C = 2 ∠ B = ∠ A + ∠ B + 20

, then find all the three angles of the triangle.

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 5

A fraction becomes

\frac{1}{4}

when

2

is subtracted from its numerator and

3

is added to its denominator and on adding

6

to numerator and multiplying denominator by

3

it becomes

\frac{2}{3}

. Find the fraction.

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2018>Q 6

The sum of two numbers is

7

. If the sum of these numbers is

7

times of its difference, then find the numbers.

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2019>Q 7

When

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

then the system of equation

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2019>Q 8

Lines

x - 2 y = 0

and

3 x + 4 y - 20 = 0

are : -

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10th Madhya Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 3 - Pair of Linear Equations in Two Variables>Madhya Pradesh Board-2019>Q 9

Use the elimination method to find all possible solutions of the following pair of linear equations :

$2 x + 3 y = 8$

$4 x + 6 y = 7$