Solve the 2b + 3a - 6 = 0, 3x + 5x = 0

Step 1: Solve the first equation for one variable in terms of the other. The equation is $2b + 3a - 6 = 0$. To solve for $b$, first isolate the term with $b$: $2b = 6 - 3a$ Now, divide by $2$: $b = \frac{6 - 3a}{2}$ This can also be written as: $b = 3 - \frac{3}{2}a$ Alternatively, to solve for $a$: $3a = 6 - 2b$ $a = \frac{6 - 2b}{3}$ $a = 2 - \frac{2}{3}b$ Since the problem asks to "solve the" equation without specifying which variable, expressing one in terms of the other is the complete solution.

Step 2: Solve the second equation for $x$. The equation is $3x + 5x = 0$. Combine the like terms on the left side: $8x = 0$ Divide both sides by $8$: $x = \frac{0}{8}$ $x = 0$

The solutions are: For $2b + 3a - 6 = 0$: $\boxed{b = 3 - \frac{3}{2}a or a = 2 - \frac{2}{3}b}$ For $3x + 5x = 0$: $\boxed{x = 0}$

3 done, 2 left today. You're making progress.