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Question

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


A
(2,1)
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B
(2,5)
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C
(3,1)
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D
(2,1)
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Solution

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.

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