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Mathematics
Baron Vargas
4 May, 12:38
Solve for u. u+1/4=-4/5
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Melody Reeves
4 May, 13:18
0
u = (-21) / 20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4) / 5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u) / 4 + 1/4:
(4 u) / 4 + 1/4 = - 4/5
(4 u) / 4 + 1/4 = (4 u + 1) / 4:
1/4 (4 u + 1) = - 4/5
Multiply both sides of (4 u + 1) / 4 = (-4) / 5 by 4:
(4 (4 u + 1)) / 4 = (-4) / 5*4
4 * (-4) / 5 = (4 (-4)) / 5:
(4 (4 u + 1)) / 4 = (-4*4) / 5
(4 (4 u + 1)) / 4 = 4/4 * (4 u + 1) = 4 u + 1:
4 u + 1 = (-4*4) / 5
4 (-4) = - 16:
4 u + 1 = (-16) / 5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16) / 5 - 1
1 - 1 = 0:
4 u = (-16) / 5 - 1
Put (-16) / 5 - 1 over the common denominator 5. (-16) / 5 - 1 = (-16) / 5 - 5/5:
4 u = (-16) / 5 - 5/5
-16/5 - 5/5 = (-16 - 5) / 5:
4 u = (-16 - 5) / 5
-16 - 5 = - 21:
4 u = (-21) / 5
Divide both sides by 4:
u = ((-21) / 4) / 5
5*4 = 20:
Answer: u = (-21) / 20
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