Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of *x* in each system.

2x + 3y = 8

x − 2y = −3

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#### Solution

The given equations are

2x + 3y = 8 ..........(i)

x − 2y = −3 ..........(ii)

The two points satisfying (i) can be listed in a table as,

x | -2 | 7 |

y | 4 | -2 |

The two points satisfying (ii) can be listed in a table as,

x | -1 | 3 |

y | 1 | 3 |

Now, the graph of equations (i) and (ii) can be drawn as,

It is seen that the solution of the given system of equations is given by *x* = 1, *y* = 2.

Also, it is observed that the coordinates of the points where the lines (i) and (ii) meet the *x*-axis are (4,0) and (3,0) respectively.

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

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