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**Unformatted text preview: **Solving System of Two equations Graphical Method y = x + 1 (1) y =- x + 5 (2) Solving System of Two equations Graphical Method y = x + 1 (1) y =- x + 5 (2) are the same equations as: x- y =- 1 (3) x + y = 5 (4) Solving System of Two equations Graphical Method Graphical Method Solve by graphing equations and finding all common points. x y +0.4 +0.8 +1.2 +1.6 +2.0 +2.4 +2.8 +3.2 +3.6 −0.4 −0.8 −1.2 −1.6 −0.8 −0.6 −0.4 −0.2 +0.2 +0.4 +0.6 +0.8 +1.0 +1.2 +1.4 +1.6 +1.8 +2.0 +2.2 +2.4 +2.6 +2.8 +3.0 +3.2 +3.4 +3.6 +3.8 +4.0 +4.2 +4.4 +4.6 +4.8 +5.0 +5.2 +5.4 +5.6 +5.8 +6.0 +6.2 +6.4 +6.6 +6.8 Solving System of Two equations Substitution Method (1) SubstitutionMethod x- y =- 1 (5) x + y = 5 (6) Substitution Method solve for x in first equation Solving System of Two equations Substitution Method (1) SubstitutionMethod x- y =- 1 (5) x + y = 5 (6) Substitution Method solve for x in first equation use to eliminate x in second equation Solving System of Two equations Substitution Method (1) SubstitutionMethod x- y =- 1 (5) x + y = 5 (6) Substitution Method solve for x in first equation use to eliminate x in second equation solve for remaining variable Solving System of Two equations Substitution Method (1) SubstitutionMethod x- y =- 1 (5) x + y = 5 (6) Substitution Method solve for x in first equation use to eliminate x in second equation solve for remaining variable use found variable in any equation to find other variable. Solving System of Two equations Substitution Method (2) x- y =- 1 (7) x + y = 5 (8) Substitution Method: Solving System of Two equations Substitution Method (2) x- y =- 1 (7) x + y = 5 (8) Substitution Method: From first equation x = y- 1 (9) Solving System of Two equations...

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