Answer
The solution is $4$
The advantage of this method is that when the solution is a negative number or a decimal number we do not have to apply special rules to the Graphing Calculator, like we used in the previous problems (1-7).
However, depending on the peculiarity of the problem, we might need more information, such as how each equation changes in value depending on the value of $x$, what are their increasing and decreasing points, etc.
Work Step by Step
We have the equation $3x+8=9x-16$
$3x-9x+8+16=0$
Simplify:
$-6x+24=0$
We will use the following equation: ($y_1=ax+b$):
$y=-6x+24$
From the table we can see that $y=0$ when $x=4$.
