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16. Solve the equations using cross multiplication method. |
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Answer» bx/a + ay/b = a2+ b2......... eq1 x + y = 2ab .... eq 2.. frm eq 1.. b2x + a2y / ab = a2+ b2 -> b2x + a2y = a3b + b3a -> b2x - b3a = a3b - a2y ->b2( x - ab ) = a2( ab - y ) -> frm eq 2 ... b2( x - x/2 + y/2 ) = a2( x/2 + y/2 - y ) -> b2( x/2 - y/2 ) = a2( x/2 - y/2 ) -> b2x - b2y = a2x - a2y -> x ( b2- a2) = y ( b2- a2) -> x = y .. put the value of x in eq 2.... 2y = 2ab |
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