Question

Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
5x – 9 = x + 23
5x – 9 = 2x + 23
5x + 23 + 2x = 23
5x + 23 = 2x + 23

Answer 1

Answer:

5x-9=2x+23

Step-by-step explanation:

Answer 2

Answer:

5x - 9 = 2x + 23

x = 10 2/3

Step-by-step explanation:

Lets convert the phrases to mathematical equations.

" five times a number" = 5 multiplied by x = 5x

"decresed by 9 " = -9

" is equal to" = "="

"twice the number" = 2 multiplied by x = 2x

"increased by 23" = +23

The final equation is 5x, -9, =, 2x, +23 or 5x - 9 = 2x + 23

We can continue to solve this problem:

5x - 9 = 2x + 23

Add 9 to both sides

5x = 2x + 32

Subtract 2x from both sides

3x = 32

Divide both sides by 3

x = 32/3 or 10 2/3

-Chetan K