A Hamilton circuit must touch every vertex
travel down every edge
touch every vertex and edge

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Ответ:

heroxtree

08.06.2020

Mathematics

x=7

Step-by-step explanation:

First, write the equation out as it is given to you in the problem:

3x+2(4+6x)=113

Second, use the Distributive Property of Multiplication to distribute the two to the numbers in side the parentheses, the "4+6x":

$3x+2(4+6x)=113\\3x+(2*4)+(2*6x)=113\\3x+8+12x=113$

Then, combine any like terms in the equation you have now, which would be the "3x" and the "+12x":

$3x+8+12x=113\\3x+12x+8=113\\15x+8=113$

Next, subtract 8 from both sides:

$15x+8=113\\15x+8-8=113-8\\15x=105$

Then, divide both sides by 15:

$15x=105\\\frac{15x}{15}=\frac{105}{15}\\ x=7$

Finally check you answer by substituting the answer you got in for the x-variables in the equation given in the problem:

$3x+2(4+6x)=113\\3(7)+2(4+6(7))=113\\21+2(4+42)=113\\21+2(46)=113\\21+92=113\\113=113$

You answer works, therefore, x=7.

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A Hamilton circuit must touch every vertex travel down every edge touch every vertex and edge