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1.3 Solving with Variables on Both Sides
What We Will Learn Solve linear equations that have variables on both sides Identify special solutions
Needed Vocab Identity: equation that is true for all values No solution: equation that is not true for any value
Ex. 1 Solve Variable on Both Sides Move smaller variable to avoid negative variable
Ex. 2 Get Rid of ( )
Ex. 3 Identifying Number of Solutions 3(5x + 2) = 15x 15x + 6 = 15x -15x -15x 6 = 0 No Solution -2(4y + 1) = -8y – 2 -8y – 2 = -8y – 2 +8y +8y -2 = -2 Identity o Infinite many solutions
Your Practice Solve for x and write no solution or infinite solutions where appropriate 3(2a – 2) = 2 (3a – 3) 6a – 6 = 6a – 6 -6a -6a -6 = -6 Infinite many solutions
Section 9.2 Systems of Equations
Day 4 Simplify Solve each equation 5. 6.
Solving System of Equations Using Graphing
Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3
7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.
Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.
I can solve systems of equations by graphing and analyze special systems.
1.3 “Solving Linear Equations” Steps: 1.Isolate the variable. 2.To solve when there is a fraction next to a variable, multiply both sides by the reciprocal.
3.5 – Solving Systems of Equations in Three Variables.
Objective - To solve equations with the variable in both sides.
Objective - To solve equations with the variable in both sides. Solve. 2x + 4 = 5x x 4 = 3x = 3x 3 7 = x -5x -3x + 4 =
3.3 Equations w/ Variables on both sides. 3.3 – Eq. w/ Variables on both sides Goals / “I can…” Solve equations with variables on both sides Identify.
Solving Systems Using Elimination
Pre-Calculus Section 1.7 Inequalities Objectives: To solve linear inequalities. To solve absolute value inequalities.
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. Objectives The student will be able to:
Algebra 7.5 Special Types of Linear Systems. Solve the Linear System -4x + 2y = 6 -2x + y = 3 4x - 2y = -6 0 = 0 0 = 0 What does this mean? The final.
One Answer, No Answers, or an Infinite Number of Answers.
Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.
3.4 Solving Equations with Variables on Both Sides Objective: Solve equations that have variables on both sides.
1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:
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