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 $color(magenta)(k=-4$

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

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

$:.5(1.2)=6$

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

How do you solve 5(1.2k+6)=7.1k+34.45(1.2k+6)=7.1k+34.4?