Question

Determine the value of variables a, b, and c that make each equation true. What is the value of a in this equation? (xa)6 = StartFraction 1 Over x Superscript 30 EndFraction a = What is the value of b in this equation? (x-7)-4 = xb b = What is the value of c in this equation? (x-2)c = x22 c =

Answer 1

Answer:

a)

$a=\frac{1}{180x^2}$

b)

$b=-4+\frac{28}{x}$

c)

$c=\frac{22x}{x-2}$

Step-by-step explanation:

a)

$(xa)6=\frac{1}{30x}$

To find the value of a, we make a the subject of the equation, therefore cross multiplying to get:

$1=180x^2a\\a=\frac{1}{180x^2}$

b)

$-4(x-7) = xb$

Making b the subject of formula in the equation:

$-4x+28=xb\\b=\frac{-4x+28}{x}\\ b=-4+\frac{28}{x}$

c)

$(x-2)c = 22x$

Making c the subject of the equation:

$(x-2)c = 22x\\c=\frac{22x}{x-2}$

Answer 2

Answer: a=-5 b=28 c=-11

Step-by-step explanation:

Gotta follow the power rules