Solving Linear Systems Algebraically

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Presentation transcript:

Solving Linear Systems Algebraically EQ: How do I solve a system of linear equations by substitution?

2 Methods for Solving Algebraically Substitution Method (used mostly when one of the equations has a variable with a coefficient of 1 or -1) Elimination Method

Solve by Substitution 1. 2x – 3y = -2 y = -x + 4 1. (2, 2) 11/22/2018

Solve by Substitution 2. 4x + y = 0 x + 2y = -7 2. (1, -4) 11/22/2018

Solve by Substitution 3. x = -5y + 4 3x + 15y = -1 3. No solution 11/22/2018

Solve by Substitution 4. x -5y = 10 2x - 10y = 20 4. Many solutions 11/22/2018