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What will be the common solution …

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What will be the common solution of the pair of equations which are X+3Y = 6 2X - 3Y =12

    • Posted by Krishnaansh Viz 5 years, 5 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 5 months ago

    Let us draw the graphs of both the equations. The tables for these equations are:

    x 0 6
    y = (6 – x)/3 2 0

     

    x 0 3
    y = (2x – 12)/3 – 4 – 2

    Now, take a graph paper and plot the following points:

    • A (0, 2)
    • B (6, 0)
    • P (0, – 4)
    • Q (3, – 2)

    Next, draw the lines AB and PQ as shown below.
    From the figure above, you can see that the two lines intersect at the point B (6, 0). Therefore, x = 6 and y = 0 is the solution of this pair of equations in two variables. Hence, it is Consistent.

    1Thank You

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