How do you solve #\frac { 1} { 2} ( 4k - 12) = \frac { 3} { 4} ( 4k - 10)#?

Question

725 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-13T15:46:55

Answer is #k=3/2.#

#1/2(4k-12)=3/4(4k-10)#
#:.2(4k-12)=3(4k-10)#
#:.8k-24=12k-30#
#:.4k=6.#
#:.k=3/2.# (answer).

Answer 2 · 2016-11-13T21:50:16

#k=3/2#

Jumping steps. The other solutions will demonstrate methods very well so there is no need for me to duplicate them.

Just another approach. The numbers may be different to the other approaches but it will give the same answer. I hope!

lets get rid of the fractions. The denominators of 2 and 4 are both factors of 4 so multiply both sides by 4 giving:

#2(4k-12)=3(4k-10)#

#8k-24=12k-30#

#4k=6#

#k=6/4= 3/2#