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jenyasd209 [6]
3 years ago
12

2y=12+4y please show work

Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

 

Step-by-step explanation:

alina1380 [7]3 years ago
8 0
Ok so you have to take away the y term with that is added with the non term and subtract it with the other y term since they’re both positive. Once you get your answer, divide it with the no term number and there’s your final answer.

2y=12+4y
-4y -4y

6y=12

12/6=2

Answer is 2
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Two consecutive integers have a sum of 195. Find the integeres
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Hey ! there

Answer:

  • First Integer is <u>9</u><u>7</u>

  • Second Integer is <u>9</u><u>8</u>

Step-by-step explanation:

The question says that <u>two </u><u>consecutive</u><u> </u><u>Integer</u><u> </u><u>have </u><u>a </u><u>sum </u><u>of </u><u>1</u><u>9</u><u>5</u><u> </u><u>.</u> And we are asked to find the integers.

For finding integers we are assuming them . So ,

  • Let the first integer be <u>x </u><u>.</u>

  • Let the second integer be <u>x </u><u>+</u><u> </u><u>1</u><u> </u>( This is because in question it's given that they are consecutive integers )

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

According to question ,

  • First Integer + Second Integer = 195

So ,

\dashrightarrow \qquad \: x + x + 1 = 195

<u>Step </u><u>1</u><u> </u><u>:</u> Adding like terms ( x and x ) on left side :

\dashrightarrow \qquad \: 2x + 1 = 195

<u>Step </u><u>2</u><u> </u><u>:</u> Subtracting 1 on both sides :

\dashrightarrow \qquad \: 2x +  \cancel{1} -  \cancel{1} = 195 - 1

Simplifying it ,

\dashrightarrow \qquad \: 2x = 194

<u>Step </u><u>3 </u><u>:</u> Dividing with 2 on both sides :

\dashrightarrow \qquad \:  \dfrac{ \cancel{2}x}{ \cancel{ 2}}  =   \cancel{\dfrac{194}{2} }

On further calculations , We get :

\dashrightarrow \qquad \:    \purple{\underline{\boxed{\frak{ x = 97}}}}  \quad \: \bigstar

<u>We </u><u>know </u><u>that</u><u> </u><u>,</u>

  • x = first number

✰ Therefore , first number is<u> </u><u>9</u><u>7</u><u> </u><u>.</u>

  • x + 1 = second number
  • 97 + 1
  • 98

✰ Therefore , second number is <u>9</u><u>8</u><u>. </u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

  • 97 + 98 = 195

  • 195 = 195

  • L.H.S = R.H.S

  • Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> solution</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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