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

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

Tutors, please sign in to answer this question.

# 4 Answers

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

- Then, solve for x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

- Finally, we check our work.

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

-49 + 7 = -42

-42 = -42 √

**The answer is x = -7**

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.

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

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