Question 1
Examine the six different equations that follow. Determine which pairs of equations have one solution, no solution, and infinite solutions. On your worksheet,
put a circle around the two equations that have infinite solutions.
put a square around the two equations that have no solution.
underline the two equations that have one solution.
Without actually providing the equations, only a general process can be outlined to determine the number of solutions for each pair of equations.
To determine the number of solutions for a pair of equations, one would typically graph both equations on the same coordinate plane and observe the relationship between the two graphs.
- If the two lines intersect at exactly one point, there is one solution.
- If the two lines are parallel and do not intersect, there is no solution.
- If the two lines are exactly the same (coincide), there are infinite solutions.
Based on this information, you can follow the instructions given and determine which pairs of equations fall under each category.