Solve this by cross multiplication method-

2(ax- by)+ a+ 4b = 0

2(bx+ay) + b - 4a = 0

Asked by snehaljain870 | 7th Sep, 2019, 06:58: PM

Expert Answer:

2(ax - by) + (a + 4b) =0
2(bx + ay) + (b - 4a) =0
The above equations can be written as:
2ax – 2by + (a + 4b) = 0
2bx + 2ay + (b – 4a) = 0
using cross multiplication method as,

                x                                        y                                1
– 2b                        a + 4b                                2a                           – 2b      
   2a                        b – 4a                                2b                              2a
rightwards double arrow fraction numerator straight x over denominator negative 2 straight b open parentheses straight b minus 4 straight a close parentheses minus 2 straight a open parentheses straight a plus 4 straight b close parentheses end fraction equals fraction numerator straight y over denominator 2 straight b open parentheses straight a plus 4 straight b close parentheses minus 2 straight a open parentheses straight b minus 4 straight a close parentheses end fraction equals fraction numerator 1 over denominator 4 straight a squared plus 4 straight b squared end fraction
rightwards double arrow straight x equals fraction numerator begin display style negative 2 open parentheses straight a squared plus straight b squared close parentheses end style over denominator begin display style 4 straight a squared plus 4 straight b squared end style end fraction
rightwards double arrow straight y equals fraction numerator begin display style 8 open parentheses straight a squared plus straight b squared close parentheses end style over denominator begin display style 4 straight a squared plus 4 straight b squared end style end fraction
rightwards double arrow straight x equals fraction numerator negative 1 over denominator 2 end fraction
rightwards double arrow straight y equals 2

Answered by Arun | 8th Sep, 2019, 05:06: PM