Q) Draw the graph of the following equations: x + y = 5, x – y = 5, and
(i) find the solution of the equations from the graph.
(ii) shade the triangular region formed by the lines and the y-axis.

Ans: (i) Solution of the equations:

Step 1: Let’s find the points on both lines and plot on the graph paper:

a) x + y = 5

(b) x – y = 5

Step 2: Now let’s plot both of these lines connecting each of the points:

From the diagram, we can see that he lines intersect each other at point (5,0)

Therefore, the solution of the lines is (5,0).

(ii) triangular region between lines and y-axis:

The triangular area between the lines and Y-axis is shaded in the above diagram.

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