Question 349019
I assume you mean {{{5/h=k/14}}}



{{{5/h=k/14}}} Start with the given equation.



{{{5*14=kh}}} Cross multiply.



{{{70=kh}}} Multiply



{{{kh=70}}} Flip the equation.



Now if we increase 'k', then will {{{kh=70}}} if we leave 'h' alone (ie don't change 'h')? The answer is "no". So in order for the equation to remain true, the value of 'h' must decrease while 'k' increases



Eg: Let k=10 and h=7. So {{{kh=10*7=70}}}. Now if k=14 (k just increased by 4), then {{{h=70/14=5}}} which means that 'h' decreased by 2.



So in summary, as 'k' increases, 'h' decreases. 



Note: This works the other way as well. If 'h' were to increase, then 'k' will decrease to keep the equation true.



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Jim