Equations with variables on both sides Whiteboard practice

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Solve an equation with variables on both sides

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Presentation transcript:

Equations with variables on both sides Whiteboard practice

9b – 6 = 5b + 18 b = 6 9b – 6 = 5b + 18 – 5b – 5b Subtract 5b from both sides. 4b – 6 = 18 + 6 + 6 Add 6 to both sides. 4b = 24 4b 4 24 = Divide both sides by 4. b = 6

a + 5 = -5a + 5 a = 0 a + 5 = -5a + 5 +5a + 5a Add 5a to both sides. - 5 - 5 Subtract 5 from both sides. 4a = 0 4a 4 = Divide both sides by 4. a = 0

3b – 2 = 2b + 12 b = 14 3b – 2 = 2b + 12 – 2b – 2b Subtract 2b from both sides. b – 2 = 12 + 2 + 2 Add 2 to both sides. b = 14

2x + 1 = x - 7 x = -8 2x + 1 = x - 7 – 1x – 1x Subtract 1x from both sides. 1x + 1 = -7 - 1 -1 Subtract 1 from both sides. x = -8

5p – 14 = 8p + 4 p = -6 5p – 14 = 8p + 4 – 8p – 8p Subtract 8p from both sides. -3p -14 = 4 + 14 + 14 Add 14 to both sides. -3p = 18 -3 -3 Divide both sides by -3. p = -6

x = 2 3x+ 6 = 6x 3x + 6 = 6x – 6x = –6x Subtract 6x from both sides. - 6 = -6 Subtract 6 from both sides. -3x = -6 -3 = -3 Divide both sides by -3 x = 2

9w + 3 = 9w + 7 3 ≠ 7 (no solution) 9w + 3 = 9w + 7 – 9w – 9w Subtract 9w from both sides. 3 ≠ 7 No solution. There is no number that can be substituted for the variable w to make the equation true.

8x– 2 = -9 + 7x x = -7 8x – 2 = -9 + 7x Subtract 7x from both sides. + 2 + 2 Add 2 to both sides. x = -7

x = 4 8 + x = 3x 8 + x = 3x – 3x = – 3x Subtract 3x from both sides. -8 = -8 Subtract 8 from both sides. -2x = -8 -2 = -2 Divide both sides by -2. x = 4

2b + 5 = 4b - 1 b = 3 2b + 5 = 4b - 1 – 4b – 4b Subtract 4b from both sides. -2b + 5 = -1 - 5 - 5 Subtract 5 from both sides. -2b = -6 -2b = -6 Divide both sides by -2. -2 = -2 b = 3

x + 2 = 2x - 3 x = 5 x + 2 = 2x - 3 – 2x – 2x Subtract 2x from both sides. -1x + 2 = -3 - 2 - 2 Subtract 2 from both sides. -1x = -5 -1x = -5 Divide both sides by -1. -1 = -1 x = 5

n = -3 5n + 9 = 2n 5n + 9 = 2n – 2n = –2n Subtract 2n from both sides. - 9 = -9 Subtract 9 from both sides. 3n = -9 3 = 3 Divide both sides by 3. n = -3

1 ≠ 8 (no solution) 3w + 1 = 3w + 8 3w + 1 = 3w + 8 – 3w – 3w 1 ≠ 8 (no solution) 3w + 1 = 3w + 8 – 3w – 3w Subtract 3w from both sides. 1 ≠ 8 No solution. There is no number that can be substituted for the variable w to make the equation true.

8y - 3 = 6y + 17 y = 10 8y - 3 = 6y + 17 – 6y – 6y Subtract 6y from both sides. 2y - 3 = 17 + 3 + 3 Add 3 to both sides. 2y = 20 2y = 20 Divide both sides by 2. 2 = 2 y = 10

2x + 7 = 3x + 4 x = 3 2x + 7 = 3x + 4 – 3x – 3x Subtract 3x from both sides. -1x + 7 = 4 - 7 - 7 Subtract 7 from both sides. -1x = -3 -1x = -3 Divide both sides by -1. -1 = -1 x = 3

-4(-6x – 3) =12 x = 0

5n + 34 =-2(1-7n) n = 4

12 = -4(-6x – 3) x = 0

-(-4x+7)= 9 x = 4

6(1+3k)=-18-6k k = -1

3a – 5 = -8(6 +5a) a = -1

14 = -(p – 8) p = -6

2(4x – 3)-8 = 4 + 2x x = 3

-(1 + 7x)-6(-7-x)= 36 x = 5