SOLVING A CLASSIC ALGEBRA EQUATION

HOW TO SOLVE A CLASSIC ALGEBRAIC EQUATION.

Hello !
  Sometime, in algebraic eqtiotions it is not always about solving for x or y. We have to solve for the whole equation, and today we are going to solve one equation of such kind of problem.
    
 Supposed, we have been given an equation:

Fourteen x minus three y divide by x plus four y is equal to 4 and ask to find the result of x minus two y.

A classic algebraic equation.



In this problem we can let the first given equation be equation one and the second given expression to be two, for the simplicity of the work.



From that, we can simplify the first equation, by multiplying  each side by the denominator ( i.e x + y). 

And then, collect the like term, so that all the terms with x will be on one and all the terms with y will be on the otherside of rhe equation.

Therefore, we can let one of x or y to be the subject of the formula. So that, we will subtitute it in equation 2 given above.




After we found the value of x intarms of y and let this be equation 3.
Then we will subtitute equation 3 in equation 2. 



Finally, the answer is 21.

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