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      Question

      I.8(x+3)+ 8(-x)=72  II.

      5(y+5)+ 5(-x)=150  In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;
      A x < y Correct Answer Incorrect Answer
      B x > y Correct Answer Incorrect Answer
      C x=y or no relationship cannot be established between x and y Correct Answer Incorrect Answer
      D x ≥ y Correct Answer Incorrect Answer
      E x ≤ y Correct Answer Incorrect Answer

      Solution

      I. 8(x+3)+ 8(-x)=72 8x  × 83+  (1/8)x - 72=0  Let 8x=a 512a+  1/a- 72=0  512a2+1-72a=0  512a²-72a+1=0  512a²-64a-8a+1=0  64a (8a-1)-1 (8a-1)= 0  (64a-1)(8a-1)= 0  a=  1/8,1/64  8x=  1/8  x= -1   8x=  1/64  x= -2   II.5(y+5)+ 5(-y)=150  55  × 5(y )+  (1/5)y -150=0   Let 5y=b 3125b+  1/b - 150=0  3125b² - 150b + 1=0  3125b² - 125b - 25b + 1=0  125b(25b-1) - 1(25b-1) = 0  b = 1/25,1/125  5y=  1/25  y= -2  5y=  1/125  y= -3  Hence, x≥ y 

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