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Solve the equations graphically: 2x-3y+13=0, 3x-2y+12=0

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One of the most important and conceptual question from linear equations in two variables in which we have given the equations 2x-3y+13=0, 3x-2y+12=0 and we have to solve these equations graphically

RS Aggarwal, Class 10, chapter 3A, question no 8

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  1. 2x−3y+13=0….(1)
    3x−2y+12=0……(2)

    Isolate x from equation (1) and find the value of x and y.
    2x−3y+13=0
    or 2x=3y−13
    or x=(3y−13)/2

    x:   −5    −2     1
    y:     1      3     5

    Similarly, isolate x from equation (2) and find the values of x and y.
    3x−2y+12=0
    or x=(2y−12)/3

    x:   −4   −2     0
    y:     0     3     6

    Graph:
    Both the lines intersect each other at point (−2,3).
    So, x=−2,y=3

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