Solve the following nonlinear system of equations x2 y2 39

Solve the following nonlinear system of equations. x^2 - y^2 = 39 x - y = 3 Find the value of the determinant |-6 -8 b a|

Solution

14) x² - y² = 39

x - y = 3

x = 3 + y

Put value of x in the given equation:

(3 + y)² - y² = 39

9 + 6y + y² - y² = 39

6y = 30

y = 5

x = 3 + y = 3 + 5

x = 8

15) Determinant IDI = (-6)(a) - (-8)(b) = - 6a + 8b