Question

Graph of linear equation ax+by=c

Answer 1

Answer:

Any linear equations is of the form

$\boxed{ \boxed{\bold{ax + by = c}}}$

So for solving the linear equations by graphically we need to know about the algorithm that is applied✓

$\red{\bold{algorithm}}$

1) Step :1 Obtain the given system of simultenous linear equations in X and Y.

Let the system of simultenous linear equation be

=> a¹x + b¹y = c¹...........(1)

=> a²x + b²y = c²...........(2)

2) Step :2 Draw the graphs of the equations (i) and (ii) in step 1✓

let the lines L¹ and L² represent the graphs of (i) and (ii) respectively

(3)if the lines L¹ and L² intersect at a point

$(\alpha \: and \: \beta )$

are the co-ordinates of this point ,then the given system has a unique solution given by

$\bold{x = \alpha \: and \: y = \beta }$

Otherwise go to Step(iv)

4)Step :4 If the lines L¹ and L² are coincident then the system is consistent and has infinitely many solutions .In this case ,every solution of one of the equations is a solution of the system .Otherwise go to Step(V)

(5)Step :5 If the lines L¹ and L² are parallal ,then the given system of equations is in-consistent ,I,e ,it has no solution