Define linear equation in two variables
Answers
Step-by-step explanation:
the equation which can put in form of ax+by+c is equal to 0 where a,b and can are real no.
Linear equation of the form ax + by + c = 0 or ax + by = c, where a, b and c are coefficient of x and y respectively and they are real numbers, 'a' is not equal to zero (a≠0) ,'b' is not equal to zero(b ≠ 0) and x and y are variables , is called a Linear equations in two variables.
Example 1 : 2x + 3y - 4 = 0
Here, a = 2 ; b = 3 and c = -4.
Example 2 : -x + y = 0
Here, a = -1 ; b = 1 and c = 0
A pair of linear equation in two variables is said to form a system of simultaneous linear equation.
The values of x and y are the solution of the given equation. These values satisfies the given equation.
Consistent : If there is at least one solution then the equations are consistent.
In –consistent : If there is no solution then the equations are in-consistent.
Hope you understood!!!!!!