Look for clues to determine whether equations have 0, 1, or an infinite number of solutions in this activity.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
The equation [math]4x+3=5x-7[/math] has:
The equation [math]-3x+4=-3x-7[/math] has:
The equation [math]6x-3=3(2x-1)[/math] has:
Fill in the blank with a number that will result in the equation having no solution: [br][math]\underline{\phantom{--}}x + 12 = 14x - 7[/math]
Fill in the blank with a number that will result in the equation having one solution: [math]\underline{\phantom{--}}x + 12 = 14x - 7[/math]
Write an equation that will have infinitely many solutions. How do you know it has infinitely many solutions?[br]