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

ax + by = a − b
bx − ay = a + 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

T

Thereforeand

Hence we get the value of and

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x + a y = b

a x - b y = c

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a x + b y = a^{2}

b x + a y = b^{2}

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

ax+by=a-b

bx-ay=a+b

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