Answer:
[tex]x=-27[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2}{3} x+3[/tex]
Substitute -15 for [tex]f(x)[/tex]:
[tex]-15=\frac{2}{3} x+3[/tex]
Subtract [tex]3[/tex] from both sides of the equation:
[tex]-18=\frac{2}{3} x[/tex]
Rewrite the equation:
[tex]-\frac{18}{1} =\frac{2}{3} x[/tex]
Find the cross product:
[tex]-54=2x[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]2[/tex]:
[tex]-27=x[/tex]
I'm going to flip the equation so my variable is on the left:
[tex]x=-27[/tex]
