1. Solve for x:
-6 x = 354
Divide both sides of -6 x = 354 by -6:
(-6 x)/(-6) = 354/(-6)
(-6)/(-6) = 1:
x = 354/(-6)
The gcd of 354 and -6 is 6, so 354/(-6) = (6×59)/(6 (-1)) = 6/6×59/(-1) = 59/(-1):
x = 59/(-1)
Multiply numerator and denominator of 59/(-1) by -1:
Answer: x = -59
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2. Solve for x:
x/2 = 12
Multiply both sides of x/2 = 12 by 2:
(2 x)/2 = 2×12
(2 x)/2 = 2/2×x = x:
x = 2×12
2×12 = 24:
Answer: x = 24
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Solve for b:
-b/3 = 9
Multiply both sides of -b/3 = 9 by -3:
(-3 (-b))/3 = -3×9
-3×(-1)/3 = (-3 (-1))/3:
(-3 (-1))/3 b = -3×9
(-3)/3 = (3 (-1))/3 = -1:
--1 b = -3×9
(-1)^2 = 1:
b = -3×9
-3×9 = -27:
Answer: b = -27
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Solve for x:
-13 x = -52
Divide both sides of -13 x = -52 by -13:
(-13 x)/(-13) = (-52)/(-13)
(-13)/(-13) = 1:
x = (-52)/(-13)
The gcd of -52 and -13 is -13, so (-52)/(-13) = (-13×4)/(-13×1) = (-13)/(-13)×4 = 4:
Answer: x = 4
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5. Simply divide by 6
$67.50/6= $11.25
