How do you solve #\frac { 3} { 7} z = \frac { 3} { 5}#?

1 Answer
Jan 20, 2018

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(7)/color(blue)(3)# to solve for #z# while keeping the equation balanced:

#color(red)(7)/color(blue)(3) xx 3/7z = color(red)(7)/color(blue)(3) xx 3/5#

#cancel(color(red)(7))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(7)))z = color(red)(7)/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/5#

#z = 7/5#