Solving Word Problems with Linear Systems

Word problems that require us to write systems of linear equations have two unknown quantities

and two different ways to relate them. This means we need to write two linear equations,

and each contains the two unknowns as variables. The Understanding linear relationships

lesson details how to translate verbal descriptions into equations. After we write the

equations, we can solve the system using our preferred method(s) for solving systems

of linear equations covered in the Solving systems of linear equations lesson. To solve a system

of linear equations word problem: Select variables to represent the unknown quantities.

Using the given information, write a system of two linear equations relating the two