To solve the equation $2a + b = 430$ for $a$ and $b$, we need additional information or a second equation. With one equation and two variables, there are infinitely many solutions. However, we can express one variable in terms of the other.

Solving for $b$:

$b = 430 - 2a$

This equation gives us the value of $b$ for any value of $a$.

Solving for $a$:

$a = \frac{430 - b}{2}$

This equation gives us the value of $a$ for any value of $b$.

Would you like to provide more information or have any specific values for $a$ or $b$ in mind?

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Here are five related questions:

1. What happens if you add a second equation to this system?
2. How do you graph the equation $2a + b = 430$?
3. Can you solve this system if $a$ or $b$ is set to a specific value?
4. What are the possible integer values for $a$ and $b$ if both must be positive?
5. How would the solution change if the equation was $2a + b = c$ for a different constant $c$?

Tip: In linear equations with two variables, finding a solution set often involves either substituting known values or adding another equation to create a solvable system.