Solve graphically the pair of linear equations: 2x+y=8 x+1=2y  Also, find the coordinates of the points where the lines represented by the above equations meet the x -axis.

# Solve graphically the pair of linear equations:Also, find the coordinates of the points where the lines represented by the above equations meet the x -axis.

1. A
x = -3, y = 2 and points: (1, 0) and (4, 0)
2. B
x = 3, y = -2 and points: (-1, 0) and (-4, 0)
3. C
x = 3, y = 2 and points: (-1, 0) and (4, 0)
4. D
x = -3, y = -2 and points: (1, 0) and (-4, 0)

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### Solution:

Given pair of linear equations are:

We need to find the value of x and y graphically and also find the coordinates of the points where the lines represented by the above equations meet the x -axis.
We have,

Now constructing value table based on equation (i), we have,
Similarly, we have,

Now constructing value table based on equation (ii), we have,
Now, based on these two tables, the graph constructed is:
From the graph we can observe that both lines intersect at point (3,2).
Therefore, the solution of the pair of equations is (3,2).
Thus the value of x and y are 3 and 2.
The lines represented by the above equations meet the x-axis at (-1, 0) and (4, 0).
Therefore, option 3 is correct.

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