3D - 2

Solve. 5d- 2/3=1/3d?

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1. 5d-1/3d=2/3 14/3d=2/3 14d=2 d=1/7
2. .5d=1/2d Therefore, .5d-2/3=1/3d is the same as 1/2d-2/3=1/3d 1/2d-1/3d=2/3 d(1/2-1/3)=2/3 d(3/6-2/6)=2/3 d(1/6)=2/3 d=2/3*6=4
3. 2/17
4. 5d-2/3=1/3d 14/3d=1/3d ------ ----- 14/3 14/3 ------- -------- 1d=1/7
5. 5d-2/3=1/3d Multiply equation by 3. 15d-2=d 15d-d=2 14d=2 d=1/7 Put it back in the equation to check.
6. 5d - 1/3d = 2/3 (15/3)d - 1/3d = 2/3 (14/3)d = 2/3 14d = 2 d = 2/14 = 1/7
7. 5d- 2/3=1/3d 5d-(1/3)d=2/3 (14/3)d=2/3 7d=1 d=1/7=.142857
8. Multiply 3 on both sides to get rid of the fractions 3(5d-2/3)=3(1/3d) 15d-2=d Subtract 15d on both sides: -14d=-2 Divide -14 on both sides: d=2/14=1/7 Check: 5(1/7)-2/3=1/3(1/7) 5/7-2/3=1/21 15/21-14/21=1/21 1/21=1/21