Page 10 - 10th maths -1

1 Linear Equations in Two Variables

Let’s study.

· Methods of solving linear equations in two variables - graphical method,

Cramer’s method
· Equations that can be transformed in linear equation in two variables

· Application of simultaneous equations

Let’s recall.

Linear equation in two variables

An equation which contains two variables and the degree of each term

containing variable is one, is called a linear equation in two variables.

ax + by + c = 0 is the general form of a linear equation in two variables;

a, b, c are real numbers and a, b are not equal to zero at the same time.

Ex. 3x - 4y + 12 = 0 is the general form of equation 3x = 4y - 12

Activity : Complete the following table

No. Equation Is the equation a linear equation in 2
variables ?
1 4m + 3n = 12 Yes

2 3x - 7y = 13
2
3 2 x - 5 y = 16

4 0x + 6y - 3 = 0

5 0.3x + 0y -36 = 0

6 4 5
4
x y
7 4xy - 5y - 8 = 0

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