Question

Solve the equations x+2y=4 and 3x-y=5 by graphical method.

• A. (2,3)
• B. (2,5)
• C. (3,1)
• D. (2,1)

Answer 1

The correct option is D (2,1)

Let's find the ordered pairs for the given equations.

1. x+2y=4
For x=0, we get y=2, the ordered pair is (0,2)
For x=2, we get y=1, the ordered pair is (2,1)

2. 3x-y=5

For x=0, we get y=-5, the ordered pair is (0,-5)
For x=2, we get y=1, the ordered pair is (2,1)

Considering each square box of length 1 unit , we get the graph as below:


The intersection point of the lines is (2,1) which is the solution.