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| 1. |
3x +2y = 52x _ 3y= 7 |
| Answer» On a graph paper, draw a horizontal line X\'OX and a vertical line YOY\' as the x-axis and the y-axis respectively.Graph of 3x + 2y = 4{tex}3x + 2y = 4{/tex}{tex}\\Rightarrow{/tex}\xa0y ={tex}\\frac { 4 - 3 x } { 2 }{/tex}\xa0...... (i)Thus, we have the following table for\xa0{tex}3x + 2y = 4{/tex}\tx0{tex}2{/tex}{tex}-2{/tex}y2{tex}-1{/tex}{tex}5{/tex}\tNow, plot the points\xa0{tex} A (0, 2), B(2, -1) \\ and \\ C(-2, 5){/tex} on the graph paper.Join AB and BC to get the graph line ABC.Extend the graph line BC on both sidesThus, the line BC is the graph of the equation\xa0{tex}3x + 2y = 4.{/tex}Graph of 2x - 3y = 7{tex}2x - 3y = 7{/tex}{tex}\\Rightarrow y = \\frac { 2 x - 7 } { 3 }{/tex}\xa0.......(ii)\tx2-15y-1-31\tNow, plot the points\xa0{tex}P(-1,-3) \\ and \\ Q (5, 1){/tex} on the same graph paper.Join PB\xa0and QB\xa0to obtain the line PQ.Thus, the line PQ\xa0is the graph of\xa0{tex}2x - 3y = 7.{/tex}The two graph lines intersect at point\xa0{tex}B(2,-1).{/tex}{tex}\\therefore{/tex}\xa0{tex}x = 2, y = -1{/tex} is the solution of the given system of equations. | |