Section 3.3 Solving Equations with Variables on Both Sides

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Presentation transcript:

Section 3.3 Solving Equations with Variables on Both Sides 8x + 10 = 6x + 16 Try to isolate x Get all the x’s on one side, And get the numbers on the other side.

3x + 13 = 5x - 11 Try to isolate x Get all the x’s on one side, And get the numbers on the other side.

Equations with variables on both sides. Put all of the variables on one side by adding or subtracting. Take the smallest “x-term” and remove it first. 6x – 5 = 3x + 10 -3x -3x subtract 3x from both sides 3x - 5 = 10 +5 +5 add 5 to both sides 3x = 15 /3 /3 divide both sides by 3 X = 5

Practice -8x + 16 = 2x - 24

6x + 4 = - 5x - 40

A Special Situation 2x + 5 = 2x + 12 Subtract 2x from each side -2x -2x 5 = 12 ??????? Since 5 is NEVER equal to 12, no matter what x is, then the original equation has no solution.

Another special situation 2 (6x + 10) = 4 (3x + 5) 12x + 20 = 12x + 20 -20 -20 12x = 12x In this case, any value of x would work. So, the solution is x = All Real Numbers

Homework Text Page 134, #11-22 All