Cross Multiplication Method CLASS 10, Pair of Linear Equations in Two Variables Class 10 Ex 3.5 Q1

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.

(i) x – 3y – 3 = 0 ; 3x – 9y – 2 =0
(ii) 2x + y = 5 ; 3x +2y =8
(iii) 3x – 5y = 20 ; 6x – 10y =40
(iv) x – 3y – 7 = 0 ; 3x – 3y – 15= 0

Learn Linear Equations in Two Variables from class 10th chapter 3 and entire NCERT Math from class 9th, 10th, 11th and 12th on our website

In all these videos on Linear Equations in Two Variables from class 10th chapter 3 I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Linear Equations in Two Variable:

In previous classes we have studied linear equations in one variable. In case of two variable equation can be put in the form of ax + by + c = 0 where a, b and c all are real numbers and a, b can not be zero.
Many real life problems we cam solve through linear equations in two variables. Here we will learn about the basics and solve the questions given in our exercises.
We learned how to plot them on the cartesian plane.
We learned lines parallel to x and y axis.

In this class we will learn to solve some advance problems in many other different methods:

Graphical Method of Solving pair of linear equations
Algebraic method of Solving pair of linear equations
Substitution Method
Elimination Method
Cross Multiplication Method
Equation reducible to a pair of linear equations in two variables
Questions and answers

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Class 9 I have: Number System, Polynomials, Coordinate Geometry, Linear Equations in Two Variable, Lines and Angles, Triangles, Quadrilaterals, Circle, Areas of Parallelograms and Triangles, Herons's Formula, Surface Areas and Volumes, Statistics and Probability.

Class 10 I have: Real Numbers, Polynomials, Quadratic Equations, Coordinate Geometry, Linear Equations in Two Variables, Triangles Similarity, Circle, Introduction to Trigonometry, Application of Trigonometry, Area related to circle, Surface Areas and Volumes, Statistics and Probability

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