[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
First, let's solve for x.
[tex] \sf \: 2 x + 3 y = 13[/tex]
Subtract 3y from both sides.
[tex] \sf \: 2x=13-3y [/tex]
Divide both sides by 2.
[tex] \sf\frac{2x}{2}=\frac{13-3y}{2} \\ [/tex]
Dividing by 2 undoes the multiplication by 2.
[tex] \boxed{ \boxed{\bf \: x=\frac{13-3y}{2} }}[/tex]
Now, let's solve for y.
[tex] \sf \: 2 x + 3 y = 13[/tex]
Subtract 2x from both sides.
[tex] \sf \: 3y=13-2x [/tex]
Divide both sides by 3.
[tex] \sf \: \frac{3y}{3}=\frac{13-2x}{3} \\ [/tex]
Dividing by 3 undoes the multiplication by 3.
[tex] \boxed{ \boxed{ \bf \: y=\frac{13-2x}{3} }}[/tex]
