In Exercises 5–18, solve each system by the substitution method.2x - 3y = 8 - 2x3x + 4y = x + 3y + 14

The substitution method is a technique for solving systems of equations where one equation is solved for one variable in terms of the other. This expression is then substituted into the other equation, allowing for the determination of the second variable. Once both variables are found, they can be substituted back to find the solution to the system.

Linear equations are mathematical statements that describe a straight line when graphed. They typically take the form Ax + By = C, where A, B, and C are constants. Understanding the properties of linear equations, such as slope and intercepts, is crucial for solving systems of equations and interpreting their graphical representations.

Isolating variables involves rearranging an equation to express one variable in terms of the other. This is a fundamental step in the substitution method, as it allows for the substitution of one variable into another equation. Mastery of this concept is essential for effectively solving equations and understanding their relationships.