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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 6 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 6 years, 6 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.

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CBSE > Class 09 > Mathematics