Question

Solve for w.
1/7 = -3/2w -4/5 Simplify your answer as much as possible.

Answer 1

7 on k-12

Explanation:

7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.

Answer 2

1/7 = -3/2w -4/5
add 4/5 to both sides
1/7 + 4/5= -3/2w
change to common denominator; 5 & 7 go into 35
(1*5)/35 + (4*7)/34= -3/2w
5/35 + 28/35= -3/2w
33/35= -3/2w
divide by -3/2 on both sides; multiply by the reciprocal of -3/2
33/35 * -2/3= w
-66/105= w
simplify by 3
-22/35= w

CHECK:
1/7 = -3/2w - 4/5
1/7= -3/2(-22/35) - 4/5
1/7= 66/70 - 4/5
1/7= 66/70 - 56/70
1/7= 10/70
1/7= 1/7

ANSWER: w= -22/35

Hope this helps! :)