1. ## [SOLVED] Simultaneous equations

Solve $\displaystyle 2^x=14-2x$ simultaneously.

2. A solution is $\displaystyle x=3$.

Let $\displaystyle f(x)=2^x, \ g(x)=14-2x$

$\displaystyle f(x)$ is strictly increasing, and $\displaystyle g(x)$ is strictly decreasing, so the solution is unique.

3. Originally Posted by requal
Solve $\displaystyle 2^x=14-2x$ simultaneously.
this is not really simultaneous equation problem. you need more than one equation for that.

note that on the right, if you make x too big (bigger than 7), you get a negative answer. the left side is always positive, so you want to try x values that are less than 7. there is one positive solution (meaning you would try integer values for x). trial and error can find it

4. Originally Posted by Jhevon
this is not really simultaneous equation problem. you need more than one equation for that.

note that on the right, if you make x too big (bigger than 7), you get a negative answer. the right side is always positive, so you want to try x values that are less than 7. there is one positive solution (meaning you would try integer values for x). trial and error can find it
Got any problem with left & right ?

*runs fast*