SOLUTION: Could you please help me solve and place it into the ordered pairs? y=3^5x+1 y=9^-x

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Question 151210: Could you please help me solve and place it into the ordered pairs?
y=3^5x+1
y=9^-x

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given system




Since "y" is equal to both and , this means that . Here's another way you can think about it:


Start with the second equation.


Plug in . In other words, replace "y" with


Rewrite as


Multiply the exponents.


Multiply.


Since the bases are equal, the exponents are equal. So this means that




Subtract from both sides.


Add to both sides.


Combine like terms on the left side.


Divide both sides by to isolate . This is the first part of the answer.


Go back to the second equation (either equation will do)


Plug in


Multiply. This is the second part of the answer.


----------------------------------------------------------------------

Answer:

So the answer is and


which approximate to and

So the answer forms the ordered pair which is approximately




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