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Solve the following simultaneous equations by using graphical method : x + y = 6;  x – y = 4. - Algebra

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Solve the following simultaneous equations by using graphical method : x + y = 6;  x – y = 4.

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Solution

First we find three solutions for each equation and make tables.
x + y = 6 ⇒ y = 6 – x
x – y = 4 ⇒ y = x – 4

                               x+y=6
 x 1 -1 0
y 5 7 6

Now, plot the points (1, 5), (–1, 7) and (0, 6) and draw the line passing through them

                               x-y=4
 x 1 -1 0
y -3 -5 -4

Now, plot the points (1, –3), (–1, –5) and (0, –4) and draw the line passing through them.

Thus the point of intersection of two lines is (5, 1).
Hence x = 5 and y = 1 is the solution of the given equations.

Concept: Graphical Method of Solution of a Pair of Linear Equations
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