1. Linear equations in two variables.
Equation ax + by + c = 0 is a linear equation in two variable x and y.
where a , b , c are real numbers ( a ≠ 0 and b ≠ 0 )
2. Solution of linear equations in two variables.
If x = α and y = β is solution of ax + by + c = 0 then aα + bβ + c = 0
Note Points of Linear Equations in Two Variables.
(i). The equation ax + by + c = 0 has infinitely many solution.
(ii). The graph of the equation ax + by + c = 0 is a straight line.
(iii). The equation of x – axis is y = 0.
(iv). The equation of y – axis is x = 0.
(v). The equation of straight line which ll to x – axis is y = b.
(vi). The equation of straight line which ll to y – axis is x = a.
(vii). The equation of straight line which ⊥ on x – axis is x = a.
(viii). The equation of straight line which ⊥ on y – axis is y = b.
3. Graph of linear equations.
| Click here to pdf download |