Solving Linear Equations

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Presentation transcript:

Solving Linear Equations Chapter 5 Section 2 Solving Linear Equations

Essential Question How do you solve linear equations?

Identity/Properties Symmetric property of equality: if a = b, then b = a Distributive property: a(b + c) = ab + ac or a(b-c) = ab-ac Additive identity: a +0 = a or 0+ a = a Multiplicative Identity: a x 1 = a or 1 x a = a

Identity/Properties: Additive Inverse: a + (-a) = 0 or (-a) + a = 0 Addition property of equality: If a = b then a+ c = b+ c Multiplicative Inverse: a x (1/a) = 1 or (1/a) x a = 1 Multiplication property of equality: If a = b then ac = bc

Examples: 2x – 3 = 5 5x + 2x = -32 +12 +2 5x – 3 = 6x+2