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8.5 Solving Equation with Variables on Each Side
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X Finds His Value http://youtu.be/J2TYyUftI8k
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1)Collect like terms 2)Move variables to same side of equation. (using the Add/ sub prop of =) 3)Move the constant to the opposite side of the equation (using the Add/ sub prop of =) 4)Solve for x (using the Mult/div prop of =) Steps to solve multi-step linear equations
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2x – 2 = -3x + 3 5x – 2 = + 3 + 3x Example 1:
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Example 2:
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6m +5 – 2m = 10 – 3m +16 +3m 4m +5 = 26 – 3m 7m +5 = 26-5 7m = 21 m =3 Example 3:
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Example 4: -2.2 +0.3z = 3- 0.5z -0.8z -2.2 +0.3z = 3 - 0.5z - 0.8z -2.2 + 0.3z = 3 – 1.3z +1.3z -2.2 +1.6z=3 +2.2 1.6z=5.2 1.6 z=3.25
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Example 5:
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Netflix charges a yearly membership fee of $50 plus $1.99 per DVD rental. The Blockbuster store has no membership fee and charges $3.99 per DVD rental. Write an equation and solve to find the number of DVD’s for which the cost of each would be the same. # of DVD’s = x Netflix: 50 + 1.99x Blockbuster: 3.99 x
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Assignment: Page 358 (2-28) even
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