Question 1037109
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The solution of the following linear system is (13/5 , 1/5). Solve for the values of A and B. Show your work. 
Ax+By=15
Bx-Ay=25 

Thanks! 
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1.  Substitute (plug-in)  {{{13/5}}} instead of  x  and  {{{1/5}}}  instead of y. Uoi will get

    {{{A*(13/5)}}} + {{{B*(1/5)}}} = 15,     (1)

    {{{B*(13/5)}}} - {{{A*(1/5)}}} = 25.     (2)

    They want you solve this system for A and B.


2.  Multiply the eqns (1) and (2) by 5 (both sides) to rid of denominators.
    Write the system in the canonical form. You will get

     13A +   B =  75,     (1')
      -A + 13B = 125.     (2')


3.  Now solve it. You can apply the substitution method by expressing A = 13b - 125 from (2') and substituting it into eqn (1).


From this point please complete the solution on your own.
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