bkan21 said:Sabrina has two part time jobs delivering flyers. She earns \$9/h at her weekday job and \$12/h at her weekend job. Last week s he worked 23h and earned a total of \$231. How many hours did she work at each job?
Linear systems can be used to represent and solve problems involving relationships between multiple variables, such as cost and quantity, rate and time, or distance and speed. By using a set of equations, the values of the variables can be determined and applied to the real-world situation.
The process for solving a linear system involves identifying the variables in the problem, writing equations to represent the relationships between the variables, and then using algebraic methods such as substitution or elimination to solve for the values of the variables.
No, linear systems can be used to solve problems with any number of variables. However, for practical purposes, it is usually most efficient to limit the number of variables to two or three in a linear system.
Linear systems can only be used to solve problems that have a linear relationship between the variables. This means that the relationship between the variables can be represented by a straight line on a graph. If the relationship is not linear, other methods of problem-solving may be necessary.
You can check your solution by substituting the values of the variables into each equation and making sure that both sides of the equation are equal. If the values satisfy all of the equations, then your solution is correct.