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8.3- Solving equations of form ax+b = cx+d. Obj: to solve equations with variables on both sides. Example 1. 3x+20 =x +40. -x. -x. 2x +20 = 40. -20 -20. 2x = 20. 2. 2. x = 10. Example 2. [ LCD Least Common Denominator ]. ]. [. 10. 10. 3x – 1 = 4x + 6. 2. 5. LCD. 10(4) 5.
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8.3- Solving equations of form ax+b = cx+d Obj: to solve equations with variables on both sides
Example 1 3x+20 =x +40 -x -x 2x +20 = 40 -20 -20 2x = 20 2 2 x = 10
Example 2 [ LCD Least Common Denominator ] ] [ 10 10 3x – 1 = 4x + 6 2 5 LCD 10(4)5 10(3)2 15x - 10 = 8x + 60 -8x -8x 7x – 10 = 60 +10 +10 7x= 70 x=10
Example 3 ½x + 4 =10 2 b. [½x + 4= 10] • ½x = 6•2 • x= 12 1x +8 = 20 -8 -8 x =12