The distance from Earth to the Moon is about [math]2.389\times10^5[/math] miles. The distance from Earth to the Sun is about [math]9.296\times10^7[/math] miles. She decides to put Earth on one corner of her dresser and the Moon on another corner, about a foot away. Where should she put the sun?[br][list][*]On a windowsill in the same room?[/*][*]In her kitchen, which is down the hallway?[/*][*]A city block away?[/*][/list]Explain your reasoning.

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through [math](0,2)[/math] so that the system has no solutions.

Write a second equation whose graph goes through [math](2,2)[/math] so that the system has one solution at [math](4,3)[/math].