How do you solve #\frac { 3} { 5} z + 1= - 14#?

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Answer 1 · 2017-04-24T22:22:31

#z =-25#

#\frac { 3} { 5} z + 1= - 14#

First move the #1# to the other side so we can begin to isolate z

#\frac { 3} { 5} z = - 14 -1#

#\frac { 3} { 5} z = -15#

Now divide both sides by #3/5# so we can get the value of #z#

#z =-15 -: 3/5#
[Remember there is a #1# under every number, we just don't write it because we know it is there.]

#z =-15/1 -: 3/5#

Flip #3/5# so we can multiply

#z =-15/1 * 5/3#

Now just multiply across

#z =-(15*5)/(1*3)#

#z =-75/3#

and divide...

#z =-25#