The graph below shows the best-selling albums of all time....

The graph below shows the best-selling albums of all time. Eagles: Their Greatest Hits, $1971-1975,$ and $\mathrm{AC} / \mathrm{DC}:$ Back in Black had sales worth $\$ 51$ million. Eagles: Their Greatest Hits, $1971-1975,$ sold $\$ 7$ million more than AC/DC: Back in Black. Find the amount of sales for each album.

The graph below shows the best-selling albums of all time. Eagles: Their Greatest Hits, $1971-1975,$ and $\mathrm{AC} / \mathrm{DC}:$ Back in Black had sales worth $\$ 51$ million. Eagles:
Their Greatest Hits, $1971-1975,$ sold $\$ 7$ million more than AC/DC: Back in Black. Find the amount of sales for each album.

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Key Concepts

System of Linear Equations

A system of linear equations involves two or more linear equations that share common variables. These equations can be solved simultaneously using methods such as substitution, elimination, or graphing. This concept is crucial for modeling word problems where multiple relationships between unknowns must be satisfied at the same time.

Variable Assignment

Assigning variables to unknown quantities is key in translating a word problem into a mathematical model. By representing each unknown with a symbol, you can set up equations to reflect the relationships described in the problem, making it easier to apply algebraic techniques for solving.

Algebraic Manipulation

Algebraic manipulation involves operations such as addition, subtraction, multiplication, division, and substitution to solve equations systematically. This process is essential for isolating variables and solving a system of equations derived from real-life scenarios, ensuring that all conditions of the problem are met.

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