Parin

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19
Jul
Examples 4 to 10

(4) Solve  : \frac{7}{x+y}  – \frac{15}{x-y}  = …

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19
Jul
Examples 1 to 3

(1) Solve  :   3x – 2y  =  1,  5x  +  3y  =  8.

Soln. First  of  all,

3x  –  2y  –  1  =   0

5x  +  3y  –  8  =   0

\therefore  Solution…

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19
Jul
Dependent Equation

☼ Dependent Equation ( Parallel Lines )  : The equation of  the type  ax + by  =  c  and  kax  +  kby  =  kc   are  known as  dependent  equations  ( or parallel lines ).

Short method to solve the pair of  linear equations…

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19
Jul
System of  Linear Equations

☼ System of  Linear Equations  :  

 ▪ Consistent System  :   A system consisting of  two simultaneous linear equations is said to be consistent, if it has at least one solution.

 ▪

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19
Jul
Cramer’s  Rules

☼ Cramer’s  Rules  ( for homogeneous system ):  

If   l1  :  a1x   +  b a1y   =  0

and   l2 :   a a2x  +  b a2y   =  0

( Where, ai

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19
Jul
The  homogeneous equation  in  two  variables

☼ The  homogeneous equation  in  two  variables :   The  equation  of  the  form   ax  +  by   =  0 ( Where,  a, b are real numbers and a2 + b2 \ne

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19
Jul
Cramer’s  Rules  : 

☼ Cramer’s  Rules  :  

  If       l1  :  a1 x   +  b1 y  +  c1  =  0

and      l<...

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19
Jul
Linear Equation in two variables

☼ Linear Equation in two variables  :   The  equation  of  the  form   ax  +  by  +  c  =  0

( Where,  a, b, c are real numbers and a2 + b2 \ne

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Posted in: Linear Equation in two variables,
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19
Jul
Simple  Equations

☼ Simple  Equations ( Linear Equation in one variable ) :   Simple equations are equations which generally have only  one  variable.

 e.g. 2x – 3  =  7

 Note : Linear Equation means the equatio…

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19
Jul
Equation 

☼ Equation  :   The mathematical form of  a  complete sentence is called an equation.

 e.g. After giving Rs. 5000 from my saving to Dinesh, I  have the balance of  Rs. 10000.

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