Answer
The solution is $x=0.5$.
Work Step by Step
The given equation is
$\Rightarrow -4+9x=-3x+2$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-4+9x$ ...... (1)
$\Rightarrow y=-3x+2$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(0.5,0.5)$.
Check:
$\Rightarrow -4+9x=-3x+2$
$\Rightarrow -4+9(0.5)=-3(0.5)+2$
$\Rightarrow -4+4.5=-1.5+2$
$\Rightarrow 0.5=0.5$
True.
Hence, the solution is $x=0.5$.
