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42 votes
42 votes
Solve Proportion
y/32+16/10

User Driton
by
3.3k points

1 Answer

15 votes
15 votes

Answer:

y = (-256)/5

Explanation:

Solve for y:

y/32 + 8/5 = 0

Put each term in y/32 + 8/5 over the common denominator 160: y/32 + 8/5 = (5 y)/160 + 256/160:

((5 y)/160 + 256/160) = 0

(5 y)/160 + 256/160 = (5 y + 256)/160:

(1/160 (5 y + 256)) = 0

Multiply both sides of (5 y + 256)/160 = 0 by 160:

(160 (5 y + 256))/160 = 160×0

(160 (5 y + 256))/160 = 160/160×(5 y + 256) = 5 y + 256:

(5 y + 256) = 160×0

0×160 = 0:

5 y + 256 = 0

Subtract 256 from both sides:

5 y + (256 - 256) = -256

256 - 256 = 0:

5 y = -256

Divide both sides of 5 y = -256 by 5:

(5 y)/5 = (-256)/5

5/5 = 1:

Answer: y = (-256)/5

User Jiddo
by
2.7k points