seven times a number and 7 is equal to six times a number

Question

i dont understand. halp. 7x time 7 = 6x

Answer 1

Seven times a number and seven is equal to six times a number.

• Word problems can be tricky no matter what level of math or science you are in.
• First look at the question for words that indicate mathematical symbols.
• "times" indicates multiplication
• "and" indicates addition
• "a number" means we have a variable, x, to solve for
• Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

• Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

• Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

 

The answer is x = -7

Answer 2

 First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.

 

       n    the number

     

       7n     7 times the number

 

        7n + 7       7 times the number and 7

 

      Then the problem says it is equal  6n , make the equation

 

       7n + 7 = 6n

 

       and solve:

 

        7n - 6n = -7

 

         n = -7  / is the answer

 

      

 

Answer 3

If 1 is added to seven times a number, the result is equal to 2 more than six times the number. Find the number.

Answer 4

Seven times a number and seven is equal to six times a number.

 

Step 1:  Translate the verbal to Algebra.

 

7x + 7 = 6x.  ("And" means addition if no other operation is present.)

 

Step 2:  Solve for x.

 

7x - 6x + 7 = 6x - 6x.      (subtract 6x from both sides)

 

1x + 7 = 0.             (Simplify)

 

1x + 7 - 7 = 0 - 7.      (subtract 7 from both sides)

 

1x = -7.             (Simplify)

 

1x/1 = -7/1.        (Divide both sides by 1)

 

x = -7.              (Simplify)

 

Step 3:  Check 7 times the number -7 and 7 is equal to six times the number -7.

 

7(-7) + 7 = 6(-7)

 

-49 + 7 = -42

 

-42 = -42.   (Both sides are equal!)

 

The number again is -7.

 

Answer 5

Hi Alyson;

7x+7=6x

Let's subtract 7x from both sides...

7x+7-7x=6x-7x

7=-x

Let's multiply both sides by -1...

(-1)(7)=(-1)(-x)

-7=x

Let's check our work...

7x+7=6x

[(7)(-7)]+7=(6)(-7)

-49+7=-42

-42=-42