Unit 7 lesson 8
In Unit 7 Lesson 8, the topic is focused on solving systems of equations using substitution. This lesson builds upon previous lessons on solving equations and introduces a new method for solving systems of equations.
The lesson begins by defining a system of equations as a set of equations that have the same variables. The goal is to find the values of the variables that satisfy both equations simultaneously.
The lesson then introduces the substitution method, which involves solving one equation for one variable and substituting that expression into the other equation. This allows for the elimination of one variable, resulting in an equation with a single variable that can be solved.
The steps for solving systems of equations using substitution are outlined. First, one equation is solved for one variable. Then, that expression is substituted into the other equation. This results in an equation with a single variable that can be solved. Finally, the value of that variable can be substituted back into one of the original equations to find the value of the other variable.
Multiple examples are provided in the lesson to demonstrate the process of solving systems of equations using substitution. Each example includes a step-by-step explanation of solving for one variable, substituting that expression, and solving for the remaining variable.
The lesson also emphasizes the importance of checking the solution by substituting the values back into both equations. This ensures that the solution is valid for both equations.
In summary, Unit 7 Lesson 8 focuses on solving systems of equations using substitution. This method involves solving one equation for one variable and substituting that expression into the other equation to eliminate one variable. The lesson provides step-by-step examples and emphasizes the importance of checking the solution.