How do you solve #\frac { 5} { 5z - 2} = \frac { 1} { 49z }#?

Question

466 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-26T14:20:38

See a solution process below:

First, do a cross product or cross multiply the equation:

enter image source here

#5 * 49z = 1(5z - 2)#

#245z = 5z - 2#

Next, subtract #color(red)(5z)# from each side of the equation to isolate the #z# term while keeping the equation balanced:

#245z - color(red)(5z) = -color(red)(5z) + 5z - 2#

#(245 - color(red)(5))z = 0 - 2#

#240z = -2#

Now, divide each side of the equation by #color(red)(240)# to solve for #z# while keeping the equation balanced:

#(240z)/color(red)(240) = -2/color(red)(240)#

#(color(red)(cancel(color(black)(240)))z)/cancel(color(red)(240)) = -1/120#

#z = -1/120#