Question

solve using cross multiplication and u/v method

Answer 1

hello dear !!!

x/a + y/b = 2 ......... (i)

ax - by = a^2 - b^2 ........... (ii)

x/a = 2 -y / b .

x = (2a - ay) / b
now substitute x in equation (ii) :

a ( 2a - ay / b ) - by = a^2 - b^2

2a^2 - a^2 y / b - by = a^2 - b^2

a^2 - a^2 y /b - by + b^2 = 0


a^2 + b^2 = a^2 y / b + by


a^2 + b^2 = ( a^2 y + b^2 y ) / b


b ( a^2 + b^2 ) = ( a^2 + b^2 ) y

therefore.....y = b .


and ,

x/a + y/b = 2...... (i)

x/a + b/b = 2
x/a = 2- 1

x = a .

hence , y = b and x = a.



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