Let x and y are positive real number such that ₉ x+ ₂₇ y= 7 2 and ₂₇ x+ ₉ y= 2 3 , then:

Step-by-step solution

Let ₃ x=A and ₃ y=B array llll & A 2 + B 3 = 7 2 & & 3 A+2 B=21 and & A 3 + B 2 = 2 3 & & 2 A+3 B=4 & A= ₃ x=11 & & x=3¹¹ and & B= ₃ y=-6 & & y=3⁻⁶ array