JAMB - Mathematics (1980 - No. 28)
Solve the system of equation 2\(^{x + y}\) = 32, \(3^{3y - x}\) = 27
(3, 2)
(-3, 2)
(3, -2)
(-3, -2)
(2, 2)
توضیح
\(2^{x + y} = 32, 3^{3y - x}\) = 27
\(2^{x + y} = 2^5\)
\(3^{3y - x} = 3^3\)
equating powers, we have
x + y = 5 ------------1
3y - x = 3 ------------2
solving simultaneously(any method)
x = 3 and y = 2