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lidiya [134]
3 years ago
11

2015 #11

Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:  27/14

Step-by-step explanation:

(x+2)/x +(x-6)/3x = (2x+9)/5x      

(3x+6)/3x + (x-6)/3x = (2x+9)/5x       First term:  [(x+2)/x]*(3/3) = (3x+6)/3x

(4x)/3x = (2x+9)/5x                             Combine (3x+6)/3x + (x-6)/3x  [=(4x)/3x]

(4/3)*5x = 2x + 9                      [(4x)/3x = 4/3] and multiply both sides by 5x

(20/3)x - 9 = 2x                     [(4/3)*5x] = (20/3)x;   Subtract 9 from both sides

20x - 27 = 6x                Multiply both sides by 3

14x = 27                          Simplify

x = 27/14                          And solve

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sertanlavr [38]

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Solve for c.<br> -c/2+43 = 50
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\huge\text{Hey there!}

\mathsf{-\dfrac{c}{2}+43=50}

\large\text{SUBTRACT 43 to BOTH SIDES}

\mathsf{-\dfrac{c}{2}+43-43=50-43}

\large\textsf{CANCEL out: 43 - 43 because that gives you 0}

\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}

\mathsf{50 - 43 = \bf 7}

\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}

\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}

\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}

\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}

\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}

\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow

\boxed{\boxed{\large\text{ANSWER: \huge\bf  c = -14}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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