[tex]\dfrac{2ax+3}{ax+3}=-1[/tex]
Rewrite -1 as a fraction
[tex]\dfrac{2ax+3}{ax+3}=\dfrac{-1}{1}[/tex]
Cross multiply
[tex]2ax+3=-1(ax+3)[/tex]
Distribute the -1
[tex]2ax+3=-ax-3[/tex]
Add both sides by ax
[tex]3ax+3=-3[/tex]
Subtract both sides by 3
[tex]3ax=-6[/tex]
Divide both sides by 3a
[tex]x=-\dfrac{6}{3a}[/tex]
Simplify
[tex]=-\dfrac{2}{a}[/tex]
That's the value of x respect to a. Let me know if you need any clarifications, thanks!
Answer:
Step-by-step explanation:
[tex]\frac{2ax+3}{ax+3} =-1\\2ax+3=-ax-3\\2ax+ax=-3-3\\3ax=-6\\x=-\frac{2}{a}[/tex]
