Solving Systems of Linear Equations

What is a Solution?

In your earlier math studies, you learned that the solution to a linear equation is the value that can be substituted to satisfy the equation. For example, 3 is the solution to the equation 2x + 1 = 7, because substituting for satisfies the equation.

2x + 1 = 7

2(3) + 1 = 7

6 + 1 = 7

7 = 7

Substituting a value for the variable in an equation can always be used as a way to verify the solution. As you begin your study of systems of linear equations, remember the definition of a solution. Think about how you can use this definition to verify the solution to a system of linear equations.