If `x = a + b and y = a + 2b` then what is a - b , in terms of x and y ?

If 3x+y=c and x+y=b , what is the value of x in terms of c and b?

Given log_(10)x = a and log_(10) y = b . (i) Write down 10^(a - 1) in terms of x. (ii) Write down 10^(2b) in terms of y. (iii) If log_(10) P = 2a - b , express P in terms of x and y.

If sin x + sin y = a , cos x - cos y = b then the value of tan ((y-x)/2) is _______ in terms of a and b.

If a^(2) = log x, b^(3) = log y and 3a^(2) - 2b^(3) = 6 log z , express y in terms of x and z.

If 2b = a + c and y^(2) = xz , then what is x^(b-c) y^(c-a)z^(a-b) equal to ?

If x/a + y/b = a+b and x/a^(2) + y/b^(2) =2 , then what is x/a^(2) - y/b^(2) equal to?

If x= (a//b) + (b//a), y= (b//c) + (c//b) and z= (c//a) + (a//c) , then what is the value of xyz - x^(2)- y^(2)- z^(2) ?

x+y=a+b , a x-b y=a^2-b^2

If y = a sin x + b cos x , find (d^2y)/(dx^2) in terms of y.