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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