Answer:
u = 5/4
Step-by-step explanation:
Solve for u:
3 = 7 (4 - 2 u) - 6 u
7 (4 - 2 u) = 28 - 14 u:
3 = 28 - 14 u - 6 u
-14 u - 6 u = -20 u:
3 = -20 u + 28
3 = 28 - 20 u is equivalent to 28 - 20 u = 3:
28 - 20 u = 3
Subtract 28 from both sides:
(28 - 28) - 20 u = 3 - 28
28 - 28 = 0:
-20 u = 3 - 28
3 - 28 = -25:
-20 u = -25
Divide both sides of -20 u = -25 by -20:
(-20 u)/(-20) = (-25)/(-20)
(-20)/(-20) = 1:
u = (-25)/(-20)
The gcd of -25 and -20 is -5, so (-25)/(-20) = (-5×5)/(-5×4) = (-5)/(-5)×5/4 = 5/4:
Answer: u = 5/4
