Solve the following system of linear equations graphically:

2x - y = 1, x - y = -1.


Shade the region bounded by these lines and the y-axis.

Equation 1:


2x - y = 1


X



0



1



Y



-1



1



Plot the line with equation 1 on graph.


Equation 2:


x - y = -1


X



0



- 1



Y



1



0



Plot the line with equation 2 on graph.



From the graph We observe point of intersection of two lines is (2, 3)


Region bound by these lines and y-axis is shaded in the graph.


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