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CCSS Math: HSA.REI.5

HSA.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Related Lessons

Graph Linear Inequalities (Slope-Intercept Form)
Solve Multistep Equations
Solve a System of Two Linear Equations in Two Variables Algebraically
Solve Inequalities Involving Absolute Value
Add and Subtract Polynomials
Solve Quadratic Equations by Factoring
Compute X- and Y-Intercepts to Graph a Linear Equation
Use Real Number Properties to Perform Computational Procedures
Multiply Polynomials
Solve Quadratic Equations Using the Quadratic Formula
Convert Linear Equations in Standard Form to Slope-Intercept Form
Simplify Rational Expressions by Factoring
Identify Types of Systems of Linear Equations
Subtract Polynomials
Solve Rate Problems
Divide a Polynomial by a Monomial
Determine How Many Times the Graph of a Quadratic Function Intersects the X-Axis
Verify if an Ordered Pair is a Solution to a Linear Equation
Add Rational Expressions
Multiply Rational Expressions
Solve Equations with Unknown Coefficients
Graph the Solution Set to a System of Linear Inequalities
Add, Subtract, and Multiply Polynomials

Related Concepts

Use Algebraic Terminology (Term, Variable, Coefficient, Constant, Degree)
Solve Two-Step Equations
Derive Linear Equations Using the Point-Slope Formula
Determine the Number of Solutions of a Linear Equations
Solve Multistep Equations
Graph a System of Linear Equations
Determine the Equation of a Line Using Slope-Intercept Form
Solve Exponential Equations
Compute X- and Y-Intercepts to Graph a Linear Equation
Verify if an Ordered Pair is a Solution to a Linear Equation
Solve a System of Two Linear Equations in Two Variables Algebraically
Solve Linear Equation Word Problems
Convert Linear Equations in Standard Form to Slope-Intercept Form