1. The problem asks to solve the equation $1 = 5a + b + c$ step by step. 2. This is a linear equation with three variables: $a$, $b$, and $c$. To solve for one variable, we need values or expressions for the other two. 3. Without additional equations or constraints, we can express one variable in terms of the others. For example, solve for $a$: $$1 = 5a + b + c$$ Rearranged: $$5a = 1 - b - c$$ Divide both sides by 5: $$a = \frac{1 - b - c}{5}$$ 4. This expresses $a$ in terms of $b$ and $c$. Without more information, this is the simplest form. 5. If you have values for $b$ and $c$, substitute them here to find $a$. This completes the solution for the first equation given the information provided.