Solve each of the following systems of equations by the method of cross-multiplication :

2ax + 3by = a + 2b
3ax + 2by = 2a + b

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Solution

GIVEN:

To find: The solution of the systems of equation by the method of cross-multiplication:

Here we have the pair of simultaneous equation

By cross multiplication method we get

Now consider

And

Hence we get the value of and

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Similar questions

Solve each of the following systems of equations by using the method of cross multiplication:

$2 a x + 3 b y = (a + 2 b), 3 a x + 2 b y = (2 a + b)$

2 a x + 3 b y = a + 2 b

3 a x + 2 b y = 2 a + b

2 (a x - b y) + a + 4 b = 0 2 (b x + a y) + b - 4 a = 0

6 (a x + b y) = 3 a + 2 b 6 (b x - a y) = 3 b - 2 a

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