mathematics

Parin Sir > mathematics
19
Jul
Examples 11 to 15

(11) A father is now five times as old as his son. Five years ago, he was nine times as old as his son. Find their present ages.

Soln. Let age of  the father  =  x  and that of  the son =  y

We are given that, x  =  5y         …

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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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