Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each graph below with the correct solution or correct number of solutions to the system of equations. infinitely many solutions no real solutions (-1,2) (-1,5) (0,-5) Graph shows a line plotted on a coordinate plane. The line starts in quadrant 1 at (5, 5) goes through (4, 3), (3, 1), (2.5, 0), (2, minus 1), (1, minus 3) in quadrant 4, and intersects Y-axis at (0, minus 5) and enters quadrant 3. arrowRight Graph shows 2 lines plotted on a coordinate plane. A line goes through (minus 1, 2) in quadrant 2 and (0, minus 1). Another line goes through (minus 1, 2) in quadrant 2 and (2, minus 1) in quadrant 4. arrowRight Graph shows 2 lines plotted on a coordinate plane. A line goes through (3, 1) in quadrant 1 and (0, minus 5). Another line goes through (0, 1) and (minus 2, minus 3) in quadrant 3.

Answer 1

The graphs matched to the number of solutions are Graph 1 - 4 = One solution

Matching the graphs to the number of solutions

From the question, we have the following parameters that can be used in our computation:

The system of equations represented by the graphs

The number of solutions on the graph can be determined by the number of points of intersection

• 1 point of intersection = 1 solution
• No point of intersection = No solution
• One line = Infinite many solutions

Using the above as a guide, we have the following:

Graph (1) = One solution

Graph (2) = One solution

Graph (3) = One solution

Graph (4) = One solution

Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each graph below with the correct solution or correct number of solutions to the system of equations. infinitely many solutions no real solutions