Solve the following equations by graphing:
A) (2, 2)
B) No solution
C) (3, 2)
D) (1, 0)

Question

Solve the following equations by graphing: 
A) (2, 2) 
B) No solution 
C) (3, 2) 
D) (1, 0)

Quizplus · Accepted Answer

The equation can be written as y = 2 - |x-3|. 
To graph this equation, we can break it into two cases: 
- when x is less than 3: y = 2 - (3 - x) = -1 + x 
- when x is greater than or equal to 3: y = 2 - (x - 3) = -1 + x 
Plotting these two lines and joining them with a sharp V-shaped point at (3, 2), we get the graph of the equation. 
We can see that this graph passes through the point (3, 2), which means that (3, 2) is a solution to the equation. Therefore, the answer is C.

Solve the Following Equations by Graphing