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Ivan
3 years ago
15

(3y-2)/3+(2y+3)/3=(y+7)/6 step by step plz

Mathematics
1 answer:
tangare [24]3 years ago
8 0

After solving the expression \frac{3y-2}{3}+\frac{2y+3}{3}=\frac{y+7}{6} the value of y is y=\frac{5}{9}

Step-by-step explanation:

We need to solve the expression \frac{3y-2}{3}+\frac{2y+3}{3}=\frac{y+7}{6} to find value of y

Solving:

\frac{3y-2}{3}+\frac{2y+3}{3}=\frac{y+7}{6}

Taking LCM of 3,3 and 6 is 6

Multiply all terms by 6

\frac{3y-2}{3}*6+\frac{2y+3}{3}*6=\frac{y+7}{6}*6\\(3y-2)*2+(2y+3)*2=y+7

Simplifying:

6y-4+4y+6=y+7\\

Combining like terms:

6y+4y+6-4=y+7\\10y+2=y+7

Simplifying to find value of y:

10y-y=7-2\\9y=5\\y=\frac{5}{9}

So, after solving the expression \frac{3y-2}{3}+\frac{2y+3}{3}=\frac{y+7}{6} the value of y is y=\frac{5}{9}

Keywords: Solving Fractions

Learn more about Solving Fractions at:

  • brainly.com/question/2456302
  • brainly.com/question/4390083
  • brainly.com/question/2456302

#learnwithBrainly

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<em />

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