How do you solve #5(1.2k+6)=7.1k+34.4#?

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Answer 1 · 2017-07-07T14:40:48

#color(magenta)(k=-4#

#5(1.2k+6)=7.1k+34.4#

#:.6k+30=7.1k+34.4#

#:.6k-7.1k=34.4-30#

#:.-1.1k=4.4#

#:.-k=4.4/1.1#

#:.-k=4#

multiply both sides by #-1#

#:.color(magenta)(k=-4#

~~~~~~~~~~~~~~~~~~~~~~~

#color(magenta)(check:#

substitute #color(magenta)(k=-4#

#:.5(1.2(color(magenta)(-4))+6)=7.1(color(magenta)(-4))+34.4#

#:.5(-4.8+6)=-28.4+34.4#

#:.5(1.2)=6#

#:.color(magenta)(6=6#