Due to length restrictions, we kindly invite to check the explanation of this question for further details on equations.
How to clear the variables within equations
In this problem we find equations that have got to be cleared with respect to a given variable, this can be done by taking advantage of algebra properties:
14) b / c = a → c = b / a
15) k = a - y → y = a - k
16) d · f · g = h → f = h / (d · g)
17) 2 · x + 3 · y = 12 → 3 · y = 12 - 2 · x → y = 4 - (2 / 3) · x
18) 2 · n = 4 · x + 2 · y → n = 2 · x + y
19) a · b · c = 1 / 2 → b = 1 / (2 · a · c)
20) y = 3 / (5 · u) + 5 → y - 5 = 3 / (5 · u) → 5 · u = 3 / (y - 5) → 3 / [5 · (y - 5)]
21) 8 · (x - a) = 2 · (2 · a - x) → 8 · x - 8 · a = 4 · a - 2 · x → 10 · x = 12 · a → x = (6 / 5) · a
22) 12 · (m + 3 · x) = 18 · (x - 3 · m) → 12 · m + 36 · x = 18 · x - 54 · m → 66 · m = - 18 · x → m = - (3 / 11) · x
23) V = (π / 3) · r² · h → h = [3 · V / (π · r²)]
24) V = (π / 3) · r² · (h - 1) → h - 1 = [3 · V / (π · r²)] → h = 1 + [3 · V / (π · r²)]
25) y · (a - b) = c · (y + a) → a · y - b · y = c · y + a · c → (a - b - c) · y = a · c → y = (a · c) / (a - b - c)
26) x = [3 · (y - b)] / m → (m · x) / 3 = y - b → y = b + (m · x) / 3
27) F = - (G · m) / r² → G = - (F · r²) / m
28) The area formula of the baking sheet is l · w = 117.
29) The temperature formula is T = (7 / 30) · n + 40.
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