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What will be the common solution …

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What will be the common solution of pair of equations x-2y=0 , 3x+4y =20

    • Posted by Krishnaansh Viz 5 years, 5 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Sia ? 5 years, 5 months ago

    Consider the following pair of linear equations in two variables,

    • x – 2y = 0
    • 3x + 4y = 20

    The solution of this pair would be a pair (x, y). Let’s find the solution, geometrically. The tables for these equations are:

    x 0 2
    y = (1/2)x 0 1

     

    x 0 4
    y = (20 – 3x)/4 5 2

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

    • A(0, 0)
    • B(2, 1)
    • P(0, 5)
    • Q(4, 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 Q (4, 2). Therefore, point Q lies on the lines represented by both the equations, x – 2y = 0 and 3x + 4y = 20. Hence, (4, 2) is the solution of this pair of equations in two variables. Let’s verify it algebraically:

    • x – 2y = 4 – 2(2) = 4 – 4 = 0 = RHS
    • 3x + 4y = 3(4) + 4(2) = 12 + 8 = 20 = RHS

    1Thank You

    ANSWER
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