Chapter 10 - Systems of Equations and Inequalities - Section 10.6 Systems of Nonlinear Equations - 10.6 Assess Your Understanding - Page 794: 28

$(-5,-\frac{3}{2})$

1. From the 2nd equation, we have $x=2y-2$ 2. Use the above in the 1st equation to get $(2y-2)^2-4y^2=16$ or $(y-1)^2-y^2=4$ or $-2y+1=4$, thus $y=-\frac{3}{2}$ 3. Use the 2nd equation to get $x=2(-\frac{3}{2})-2=-5$ 4. Thus the solution $(-5,-\frac{3}{2})$