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If $x$ and $y$ are numbers such that $9^x-4^y=10$ and $3^x-2^y=2$, compute $3^x+2^y$.

 Jun 15, 2019

Best Answer 

 #1
avatar+8963 
+3

(3x - 2y)(3x + 2y)  =  9x - 4y

                                             We know  3x - 2y  =  2   and   9x - 4y  =  10

( 2 )( 3x + 2y )  =  10

                                             Divide both sides of the equation by  2

3x + 2y  =  5

 Jun 15, 2019
 #1
avatar+8963 
+3
Best Answer

(3x - 2y)(3x + 2y)  =  9x - 4y

                                             We know  3x - 2y  =  2   and   9x - 4y  =  10

( 2 )( 3x + 2y )  =  10

                                             Divide both sides of the equation by  2

3x + 2y  =  5

hectictar Jun 15, 2019

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