Solving Linear Systems with Substitution Method
Learn how to solve linear systems using the substitution method by substituting one variable expression into the other equation. Practice solving equations and systems with step-by-step examples. Explore real-world problems and discover the number of solutions in different scenarios.
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Presentation Transcript
6-2 Solving Systems Using Substitution
Substitution Method: you can solve linear systems by solving one of the equations for one of the variables. Then substitute the expression for the variable into the other equation
Problem 1: Using Substitution What is the solution of the system? Use substitution. ? = 3? x + y = 32
What is the solution of the system? Use substitution. ? = 2? + 7 ? = ? 1
Problem 2: Solving for a Variable and Using Substitution What is the solution of the system? Use substitution. 3? + 4? = 14 2? + ? = 3
What is the solution of the system? Use substitution. 6? + 5? = 8 ? + 3? = 7
Problem 3: Using Systems of Equations A snack bar sells two sizes of snack packs. A large snack pack is $5, and a small snack pack is $3. In one day, the snack bar sold 60 snack packs for a total of $220. How many small snack packs did the snack bar sell?
Problem 4: Systems with Infinitely Many Solutions or No Solution How many solutions does each system have? ? = 2? + 4 3.5? + 7? = 14
How many solutions does each system have? ? = 3? 11 ? 3? = 13
