Question

\(\LARGE{\color{red}{\cal{Tutorial}}}\) on Linear equation in two variables :)

Answer 1

Oh I love linear equations =) This should be good!!

Answer 2

*Linear equation in two variables:
An equation in the form of \(ax+by+c+=0\) & \(ax+by+d=0\) , where a,b,c,d are real numbers & where \(a \neq 0\),\(b\neq 0\) & x/y are variables is called Linear equation in two variables.


*Solution of a linear equation n two variables:
Let \(ax+by+c=0\) be a linear equation in two variables where a,b,c re real numbers such that \(a\neq 0\),\(b\neq0\) then any pair of values of 'x' & 'y' which satisfies the equation \(ax+by+c=0\) is called a solution to the given equation


*Methods of solving linear equation in two variables:
(i) Graphical method
(ii) Algebraic method

* condition I
If \({a_1 \over a_2} \neq {b_1 \over b_2}\)
(i) This system has a unique solution & is called consistent system.

* condition II
If \({a_1 \over a_2} = {b_1 \over b_2} \neq {c_1 \over c_2}\)
(i) the system has no common solution & system is called consistent.

* condition III
If \({a_1 \over a_2} = {b_1 \over b_2} = {c_1 \over c_2}\)
(i) the system has infinite number of solutions & system is called dependent consistent.

Answer 3

when i clearly understood this chapter then i make notes & they are just behind u :)

Answer 4

Is there a time where a linear equation of two variables is inconsistent?

Answer 5

nobody taught me that thing , sorry :(
only these above conditions are known to me :)

Answer 6

@UnkleRhaukus @lgbasallote @satellite73 @amistre64 have a look :)

Answer 7

I like it. A different way at looking system of equations.

Answer 8

thanx @RyanL. :)

Answer 9

Graphical ???? @jiteshmeghwal9

Answer 10

oops! graphical method is another way to represent linear equation in two variables

Answer 11

yes you showed that but not explained

Answer 12

means ???

Answer 13

Ok tell me that was your topic: "solving linear eqn in 2 variables" or " introduction to Linear eqn in 2 variables" ?

Answer 14

that's all what i have learn nt any step is left

Answer 15

its an introduction with the conditions of solving an equation of two variables :)

Answer 16

understood @mathslover ???

Answer 17

Oh k..

Answer 18

good one then :

Answer 19

thanx :)

Answer 20

this is good and an easier method at the introduction...but after having command on it i would suggest you to go through graph method , that would be more explanatory and visual ... :) by the way it's good

Answer 21

k ! but i had only told about graphical method not explained @ghazi :)

Answer 22

it's fine..may be, later they will explain you...

Answer 23

well thanx for suggestion & for comments :)

Answer 24

YW :)