Literal Equations

A literal equation differs from other equations because you are not solving for a specific value for a specific variable.

Follow the same steps that were provided for solving linear equations. Solve each equation for the indicated letter.

 

xyz = 3, solve for y   x y z = 3 x z xz   y = 3/xz

 

 

2ab = c ; for a  a. a = -c / b  b. 2a = -c / b  c. a = c / 2b  d. a = -c / 2b  e. a = 2c / b	-3ab = 12 ; for b  a. b = 4/a  b. b = -4/a  c. b = -3/a  d. b = -1/4a  e. 3b = -12/a
C = ∏a ; for a  a. a = 2∏ / c  b. a = c / ∏  c. a = -c / ∏  d. a = ∏ / c  e. a = -∏ / c	ax + b = 2c ; for x  a. x = (2c-b) / a  b. x = -(2c-b) / a  c. x = (c-b) / 2a  d. x = 2(c-b) / a  e. x = (4c-b) / a
7c – 5c + b = a ; for c  a. 2c = (a - b)  b. c = (a - b) / 5  c. c = 2(a - b) / c  d. c = -(a - b) / 2  e. c = (a - b) / 2	ax + ay = z ; for a  a. a = z / (2x +2y)  b. a = 2z / (x + y)  c. a = az / (x + y)  d. -a = z / (x + y)  e. a = z / (x + y)
A = ½ bh ; for h  a. h = -2A / b  b. h = A / 2b  c. 2h = A / b  d. h = 2A / b  e. h = ½ A / b	V = lwh ; for w  a. w = -V / lh  b. w = 2V / lh  c. w = V / lh  d. 2w = V / lh  e. w = V / (l+h)

 

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