X=ab4 and a~y2, b~1/y when y=2 and x=18and when y=1, x=-3 find the value of x when y=4?

Answers

Answer 1

The value of x when we solve the equation using substitution method is 15.375.

Let the value of a = k/y² and b = m/y

Then,

x = k/y² + m/y + 4

18 = k/4 + m/2 + 4

14 = k/4 + m/2

56 = k + 2m ---- (eq 1)

-3 = k + m + 4

-7 = k + m ---- (eq 2)

Subtracting equation 1 from equation 2

56 - (-7) = 2m - m

m = 63  

Substituting the value of m in equation 2

-7 = k + 63

k = -70

Putting the value of k in x = k/y² + m/y + 4

x = -70/16 + 63/4 + 4

x = 91/8 + 32/8

x = 123/8 = 15.375

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