Question

1. The sum of six times a number, and 1, is equal to five times
the number. Find the number.

Answer 1

x=-1

Explanation:

6 x + 1 = 5 x

6 x - 5 x + 1 = 5 x - 5x

x +1 =0

x+1-1=-1

x=-1

Answer 2

-1

Explanation:

To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:

"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number

"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x

Put it all together and we have

6x + 1 = 5x

Now we can solve our equation.

First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:

6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1

Next, we will subtract 5x from both sides:

6x - 5x = 5x - 5x - 1, giving us x = -1

-1 is the number

hope this helps