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Question 862167: solve by cross multiplication method
QUS: x is divided by a + y is divided by b is equal to a+b,this is first equation
& x is divided by square of a + y is divided by square of b is equal to two,
this is equation two
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!  , your first equation;
 , your second equation.
Those already look crazy. Here is another try to understand:
 , your first equation;
Simplifying,  ;
 , your second equation.
Simplifying,  .
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Continuing with this, these equations are both linear in x and y. That is assuming if a and b are taken as constants.
System is:
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bx+ay=ab(a+b)
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b^2x+a^2y=a(ab)^2
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Maybe use Elimination Method.
 , as first equation.
 , subtracting first from second.
 , the x term has been "eliminated".
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Next, to solve for x, you could either try elimination of y to solve for x, or you could try substituting what was just found for y into either system equation and solve for x.
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Here is an attempt substituting.
 ... and then a bit of further work to simplify this.
 -----Interesting result.
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