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9y+7=2y+98

please help !

asked
User Pvlt
by
8.1k points

2 Answers

3 votes

Answer:

y=13

Explanation:

Move all terms containing y

to the left side of the equation.

Subtract

2y from both sides of the equation.

9y+7-2y=98

Subtract

2y from 9y

7y+7=98

Move all terms not containing y

to the right side of the equation.

Subtract 7

from both sides of the equation.

7y=98-7

Subtract

7 from 98

7y=91

Divide each term in

7y=91 by 7

and simplify.

7y/7=91/7

Divide each term in

Simplify the left side.

Cancel the common factor of 7

y=91/7

Simplify the right side.

Divide 91 by 7

2 votes

Answer:

Explanation:

First, you want to isolate the variable on one side, and the number on the other.

To do that, let's start with our equation here.

9y+7=2y+98

We can subtract 2y from both sides:

9y-2y+7=2y-2y+98

The 2ys cancel on the other side:

9y-2y+7=98

And then we can simplify the other side due to similar variable.

9-2 is 7, so the equation is:

7y+7=98

Now we want to isolate the number. To do that, we can subtract 7 from both sides.

7y+7-7=98-7

The sevens cancel on the other side. You are left with this equation:

7y=98-7

98-7=91, so:

7y=91

Now we want to isolate the y completely. To do this, we can divide both sides by 7.

(7y/7)=91/7

7y/7 becomes y, so the equation becomes this:

y=91/7

91 divided by 7 is 13.

y=13

Thus we got our answer. Y=13

But before we do anything, let's check our answer. We can do this by plugging y into the original equation.

9(13)+7=2(13)+98

117+7=26+98

124=124

So, y=13.

answered
User Dabadaba
by
8.0k points

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