Chapter 10 - Systems of Equations and Inequalities - Section 10.6 Systems of Nonlinear Equations - 10.6 Assess Your Understanding - Page 795: 51

$(2,8)$

1. Start with the 2nd equation, $log_x(4y)=log_x4+log_xy=5$ 2. Use the 1st equation to get $log_x4+3=5$, thus $log_x4=2$ and $4=x^2$ and $x=2$ (discard the negative answer) 3. Use the 1st equation, $log_2y=3$, thus $y=2^3=8$ 4. Check the solution $(2,8)$, it fits the original equations.