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vmabille · Aug 18, 2010, 08:13 AM

3 x + y = 243
2x – y = 1

3 to the power of x + y (not 3 x + Y) = 243
and 2x - y = 1 (not to the power of)

Unknown008 · Aug 18, 2010, 08:33 AM

$3^{x+y} = 243$

$2x - y = 1$

From the first equation, you can rearrange by taking logs on both sides.

$log(3^{x+y}) = log(243)$

Using the power law, we get:

$(x+y)log(3) = log(243)$

Now, divide by log(3);

$x+y= \frac{log(243)}{log(3)}$

$x+y= 12$

Now that you got two linear equations, can you work the rest out?

I hope it helped! :)

vmabille · Aug 18, 2010, 08:43 AM

Thanks hey! Jip got it now!

Unknown008 · Aug 18, 2010, 08:45 AM

No problem :)