Pair of Linear Equation

Fast trick to solve Pair of linear equation

Q1. 4x + 3y = 9 and 8x + 27y = 81

where a1 = 4 and a2 = 8

b1 = 3 and b2 = 27

c1 = 9 and c2 = 81

Now lets check whether -

b1/b2 = c1/c2 or b1/b2 = c1/c2

If any of the above condition matched only then we can use this method to solve the equation.

In the above question as we see its matched with the condition 2 so -

b1/b2 = c1/c2

3/27 = 9/81

1/9 = 1/9

If the condition satisfied then we take x equals to 0.

x = 0

3y = 9

y = 9/3

y = 3/1

y = 3/1

Q1. 2x + 3y = 7 and 4x + 8y = 14

where a1 = 2 and a2 = 4

b1 = 3 and b2 = 8

c1 = 7 and c2 = 14

Now lets check whether -

b1/b2 = c1/c2 or b1/b2 = c1/c2

If any of the above condition matched only then we can use this method to solve the equation.

In the above question as we see its matched with the condition 1 so -

a1/a2 = c1/c2

2/4 = 7/14

1/2 = 1/2

If the condition satisfied then we take y equals to 0.

y = 0

2x = 7

y = 7/2

y = 7/2

y = 7/2