In this video lesson we will learn 5 Steps to Solve a System of Equations Using Substitution. We will first review each of the 5 steps. I will use a graphic organizer to model using the five steps. We will first identify an equation that is either solve for x or for y. We will then substitute the expression into the second equation. Then we will solve that equation for the variable. Step 3, we will use the first equation from step 1 and substitute the solution from Step 2 to solve for the second variable. Step 4, we will write our solution as an ordered pair and review that the solution to a system of linear equations is an ordered pair which represents the point the two lines would intersect at on a coordinate plane. Step 5, we will check our solution using BOTH equations to make sure the ordered pair is a true solution for both equations. Three student practice problems are provided with exemplar modeled solutions.
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00:00 Introduction
00:50 Five Steps for Solving Using Substitution
02:43 How to Use the Five Steps
06:35 Student Practice #1
09:48 Student Practice #2
11:50 Student Practice #3
Common Core Standards
8.EE.C.8 Analyze and solve pairs of simultaneous linear equations.
8.EE.C.8.A Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE.C.8.B Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
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