Linear Equations

Parin Sir > Quantitative Aptitude (Maths) > Linear Equations

Jul

Index

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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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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…

Posted in: Examples 1 to 3,

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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.

▪

Posted in: System of Linear Equations,

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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, a_i

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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 : a₁x + b₁y + 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 $\ne$

Posted in: Linear Equation in two variables,

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