Certainly! Let's fill in the missing steps and justifications based on the provided information.
Given the equation: [tex]\( y = 770 - 55x \)[/tex]
Determine the solution step by step with appropriate justifications:
[tex]\[
\begin{array}{|c|l|}
\hline Steps & \multicolumn{1}{|c|}{ Justification } \\
\hline y = 770 - 55x & \text{given} \\
\hline y - 770 = 770 - 55x - 770 & \text{subtraction property of equality} \\
\hline y - 770 = -55x & \text{simplification} \\
\hline \frac{y - 770}{-55} = \frac{-55x}{-55} & \text{division property of equality} \\
\hline (y - 770) / -55 = x & \text{simplification} \\
\hline
\end{array}
\][/tex]
Each of these steps is justified as follows:
1. Given: The initial equation representing the relationship between the elements (cost and number of installments).
2. Subtraction property of equality: Isolating the term with [tex]\( x \)[/tex] by subtracting 770 from both sides.
3. Simplification: Simplifying the right-hand side of the equation to effectively isolate all terms involving [tex]\( x \)[/tex].
4. Division property of equality: Dividing both sides by -55 to solve for [tex]\( x \)[/tex].
5. Simplification: The final step simplifies to show the expression for [tex]\( x \)[/tex].
