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Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee-example-1

1 Answer

4 votes

Answer:

The first integer is
-2.

The second integer is
-1.

Explanation:

The five-step method is GUESS method.

Given:

6 times the sum of 2 consecutive integers is 13 less than five times the larger integer.

Unknown:

Value of first and second integer.

Let the first integer be
x.

Therefore, the second integer is equal to
x+1 which is also the larger integer.

Evaluate:

6 times the sum of first and second integers is 13 less than five times the larger integer. So,


6(x+x+1)=5(x+1)-13\\6(2x+1)=5x-5+13\\12x+6=5x-8\\12x-5x=-8-6\\7x=-14\\x=-(14)/(7)=-2

Substitute and Solve:

Now, we have,
x=-2.

Substitute -2 for
x and solve for first and second integers. This gives,

The first integer value =
x=-2

The second integer value =
1+x=1+(-2)=1-2=-1

Therefore, the first integer is
-2 and the second integer is
-1.

User TheNone
by
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