Embibe Experts Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 1: Madhya Pradesh Board-2018

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 $a_{2}x+b_{2}y+c_2=0$

Solve the following system of equation by substitution method:

$x+y=7$

$3x-2y=11$

If in $△ABC, \angle C=2\angle B=\angle A+\angle B+20$, then find all the three angles of the triangle.

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.

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

$2x+3y=8$

$4x+6y=7$

The cost of $5$ oranges and $3$ apples is $Rs.35$ and the cost of $2$ oranges and $4$ apples is $Rs.28$. Let us find the cost of an orange and an apple.

For which value of k will the following pair of linear equations have no solution? 

$3x+y=1$

$(2k-1)x+(k-1)y=2k+1$

The larger of two supplementary angles exceeds the smaller by $18°$. Find them.