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One number is two more than four times another. Their sum is-13. Find the numbers.

Short Answer

Expert verified

If one number is two more than four times another and their sum is -13then those numbers are-3&-10.

Step by step solution

01

Step 1. Given information  

The second number is 2more than 4times the first number.

The sum of the first number and the second number is -13.

02

Step 2. Consider variable for numbers 

Consider the first number is n.

The second number is 2more than 4times the first number.

So the second number is4n+2.

03

Step 3. Solution  

The sum of the first number and the second number is-13.

n+(4n+2)=-135n+2=-135n=-15n=-3

The first number is -3.

The second number is:

4n+2=4(-3)+2=-12+2=-10

So the numbers are-3&-10.

04

Step 4. Verification 

-10is 2more than 4times of role="math" -3

-10=?4(-3)+2-10=?-12+2-10=-10

The left-hand side is equal to the right-hand side

The sum of -3&-10is -13

(-3)+(-10)=?-13-3-10=?-13-13=-13

The left-hand side is equal to the right-hand side, so our answer is correct

the numbers are-3&-10

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