Well... it's physics, but I just need help rearranging a formula. =p
To keep things simple, let's say that a=bc. How do you solve for 'b' and 'c'?
Another one, but a bit harder: a=b/c. How do you solve for 'b' and 'c'?
Harder yet: a/b=c/d. How do you solve for 'b,' 'c,' and 'd'?
Simple... I know, but I suck at this stuff. Thanks in advance! =D
To keep things simple, let's say that a=bc. How do you solve for 'b' and 'c'?
Another one, but a bit harder: a=b/c. How do you solve for 'b' and 'c'?
Harder yet: a/b=c/d. How do you solve for 'b,' 'c,' and 'd'?
Simple... I know, but I suck at this stuff. Thanks in advance! =D
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1. a = bc
b = a/c (divide both sides by c)
c = a/b (divide both sides by b)
2. a = b/c
b = ac (multiply both sides by c)
c = ab (multiply both sides by b)
3. a/b = c/d
b = da/c (invert both sides, then multiply both sides by a)
c = ad/b (multiply both sides by d)
d = bc/a (invert both sides then multiply both sides by c)
b = a/c (divide both sides by c)
c = a/b (divide both sides by b)
2. a = b/c
b = ac (multiply both sides by c)
c = ab (multiply both sides by b)
3. a/b = c/d
b = da/c (invert both sides, then multiply both sides by a)
c = ad/b (multiply both sides by d)
d = bc/a (invert both sides then multiply both sides by c)
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Equations must be kept equal by doing the same operation to both sides. This will yield an equivalent equation (or you can solve for the variable and get the same answer)
To move one letter from one side to the other, you multiply both sides by the reciprocal. Since these are regular numbers, the reciprocal is just one over that number (reciprocal of a = 1/a)
a=bc, to solve for b, multiply both sides by 1/c to get a/c = bc/c; c/c = 1, so it 'disappears'; a/c = b
The reciprocal of a rational number is just "it's flip" 1/c's reciprocal is just c. Remember cross multiplying? it moves a number in the denominator to the other side of the equal sign, but in the numerator.
a/b = c/d b/1 = ad/c; c = ad/b; d = cb/a
good luck!
To move one letter from one side to the other, you multiply both sides by the reciprocal. Since these are regular numbers, the reciprocal is just one over that number (reciprocal of a = 1/a)
a=bc, to solve for b, multiply both sides by 1/c to get a/c = bc/c; c/c = 1, so it 'disappears'; a/c = b
The reciprocal of a rational number is just "it's flip" 1/c's reciprocal is just c. Remember cross multiplying? it moves a number in the denominator to the other side of the equal sign, but in the numerator.
a/b = c/d b/1 = ad/c; c = ad/b; d = cb/a
good luck!
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the only ways to find out is to either know what formulas you are refering to or know that a=same number in all equations you gave. same with the other variables. if you are only wanting to rearange the formulas:
(1) b=a/c
c=a/b
(2)b=a*c
c=a*b
(3)b=(1/a)*(c/d)
c=(a/b)*d
d=(a/b)*(1/c)
(1) b=a/c
c=a/b
(2)b=a*c
c=a*b
(3)b=(1/a)*(c/d)
c=(a/b)*d
d=(a/b)*(1/c)
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Equation: a = bc (solve for b)
a/b = bc/b Divide each side by variable b. Fraction a/b is left, with bc/b simplified to c.
a/b / (a) = c / (a) Divide each side by "a" to eliminate numerator a and isolate variable b.
b = c/a Simplify and here is your answer!
Equation: a = b/c (Solve for b)
(c) * a = (c) * b/c Multiply each side by variable c to eliminate denominator c.
ac = b Simplify and here is your answer!
Equation: a/b = c/d (Solve for b)
a/b / (a) = c/d / (a) Divide each side by a to isolate variable b.
b = c/d / a Simplify and that is your answer!
a/b = bc/b Divide each side by variable b. Fraction a/b is left, with bc/b simplified to c.
a/b / (a) = c / (a) Divide each side by "a" to eliminate numerator a and isolate variable b.
b = c/a Simplify and here is your answer!
Equation: a = b/c (Solve for b)
(c) * a = (c) * b/c Multiply each side by variable c to eliminate denominator c.
ac = b Simplify and here is your answer!
Equation: a/b = c/d (Solve for b)
a/b / (a) = c/d / (a) Divide each side by a to isolate variable b.
b = c/d / a Simplify and that is your answer!