Question

9w/2-6=8-w

1/2 (10x-6)=x+16

×+4-3x=2x+5x+10

3 (×/2-1)=+/3+2

×/4-3=4-×/3

1/6 (4x-12)=6x/5

1/6 (4x-14)=8/4

Answer 1

9w/2-6=8-w ∴ 9w/2 = 14 - w ∴ 9w = (14 - w)*2 ∴ 9w = 28 - 2w ∴ 11w = 28 ∴ w = 28/11

1/2 (10x-6)=x+16 ∴  5x - 3 = x + 16 ∴ 4x = 19 ∴ x = 19/4

×+4-3x=2x+5x+10 ∴ x - 3x -2x - 5x = 10 - 4 ∴ -9x = 6 ∴ x = 6/(-9) = -2/3

3 (×/2-1)=+/3+2 ∴ ???

×/4-3=4-×/3 ∴ (mmc(3,4)=12 - mesmo denominador) 3x - 12*(-3) = 12*4 - 4x ∴ 3x + 4x = 48 - 36 ∴ 7x = 12 ∴ x = 12/7

1/6 (4x-12)=6x/5 ∴ 4x/6 - 2 = 6x/5 (mmc(6,5)=30 - mesmo denominador) 20x - 60 = 36x ∴ 16x = -60 ∴ x= -60/16 = -15/4

1/6 (4x-14)=8/4 ∴ 4x/6 - 14/6 = 2 ∴ 4x/6 = 2 + 14/6 ∴ (mmc=6) 4x = 12 + 14 ∴ x = 26/4 = 13/2 

Answer 2

9w/2-6=8-w ∴ 9w/2 = 14 - w ∴ 9w = (14 - w)*2 ∴ 9w = 28 - 2w ∴ 11w = 28 ∴ w = 28/11

1/2 (10x-6)=x+16 ∴  5x - 3 = x + 16 ∴ 4x = 19 ∴ x = 19/4

×+4-3x=2x+5x+10 ∴ x - 3x -2x - 5x = 10 - 4 ∴ -9x = 6 ∴ x = 6/(-9) = -2/3

3 (×/2-1)=+/3+2 ∴ ???

×/4-3=4-×/3 ∴ (mmc(3,4)=12 - mesmo denominador) 3x - 12*(-3) = 12*4 - 4x ∴ 3x + 4x = 48 - 36 ∴ 7x = 12 ∴ x = 12/7

1/6 (4x-12)=6x/5 ∴ 4x/6 - 2 = 6x/5 (mmc(6,5)=30 - mesmo denominador) 20x - 60 = 36x ∴ 16x = -60 ∴ x= -60/16 = -15/4

1/6 (4x-14)=8/4 ∴ 4x/6 - 14/6 = 2 ∴ 4x/6 = 2 + 14/6 ∴ (mmc=6) 4x = 12 + 14 ∴ x = 26/4 = 13/2