SIMULTANEOUS LINEAR EQUATION –
The simultaneous linear equation is a very important part of learning, obtained from the syllabus of 9th-grade math, where this learning will help us to understand further higher grades of mathematics in a logical way. A simultaneous linear equation can be solved by the process or method which is mentioned below -
A) Simultaneous linear equations in two variables. (with numerical coefficients only) –
- Substitution and
- Cross multiplication method.
B) Solving simple problems by framing appropriate equations.
Linear equations in two Variable –
An equation of the form ax + by + c = 0, where a, b, c are real numbers (a≠ 0, b≠ 0), is called a linear equation in two variables x & y.
Examples : - each of the equations
a) 2x + 5y – 15 = 0, b) 5x – 9y + 10 = 0, c) 12x + 8y = 10,
d) 0.8x + 0.5y =2.5, e) √8 x + √10y = √7, f) 0.11x – 0.18y + 0.02 = 0
is a linear equation in x & y.