Question

if 2 x minus 3 Y is equal to 10 and X Y is equal to 44 find the value of 8 x cube minus 27 ycube​

Answer 1

Answer:

8920 and 12376

Step-by-step explanation:

2x-3y=10 equation 1

xy=44. equation 2

8x^3 -27y^3 = ? equation 3

Now:

y=44/x equation 4

Substituting 4 into 1:

2x-3(44/x)=10

2x - 132/x =10

2x^2/x -132/x =10

2x^2-132-10x =0

Solve the quadratic equation

x=11 ,x=-6

Substitute x's value in equation 4

y=44/11 , y=44/-6

y=4 , y= -22/3

Now ,

8[(11)^3] -27[(4)^3] , 8[(-6)^3]-27[(-22/3)^3]

= 10648 + 1728. , = -1728 +10648

= 12376. , = 8920