How do you solve for A in #B=5/7(A-9)#?

1 Answer
May 22, 2017

Answer:

See a solution process below:

Explanation:

First, multiply each side of the equation by #color(red)(7)/color(blue)(5)# to eliminate the need for parenthesis while keeping the equation balanced:

#color(red)(7)/color(blue)(5) xx B = color(red)(7)/color(blue)(5) xx 5/7(A - 9)#

#7/5B = cancel(color(red)(7))/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(7)))(A - 9)#

#7/5B = A - 9#

Now, add #color(red)(9)# to each side of the equation to solve for #A# while keeping the equation balanced:

#7/5B + color(red)(9) = A - 9 + color(red)(9)#

#7/5B + 9 = A - 0#

#7/5B + 9 = A#

#A = 7/5B + 9#