### Home > A2C > Chapter 11 > Lesson 11.2.3 > Problem11-72

11-72.

Solve for $x$ and $y$ in each system below.

1. $2x + y = 12 \\xy = 16$

Solve for $y$ in one of the equations and substitute.

$y = 12 − 2x$

$y=\frac{16}{x}$

$\left(2, 8\right) \text{ and } \left(4, 4\right)$

1. $2x + y = 12 \\xy = 20$

See part (a).

$\left(3 + i, 6 − 2i\right) \text{ and } \left(3 − i, 6 + 2i\right)$

1. Explain how the graphs of (a) and (b) relate to the solutions to each system of equations.

What does it mean if the solutions contain $i$?