Question

Translate the following verbal statement into an algebraic equation and then solve.

Answer 1

To solve the algebraic equation, 6 = 2x - 4, we can add 4 to both sides and then divide both sides by 2. The solution to the equation is x = 5.

Step-by-step explanation:

To translate the verbal statement into an algebraic equation, we need to identify the unknown quantity and express it in terms of the known values. Let's assume the unknown quantity is x. The verbal statement '6 is 4 less than twice a number' can be translated into the equation: 6 = 2x - 4. To solve this equation, we can add 4 to both sides and then divide both sides by 2. This gives us x = 5. Therefore, the solution to the equation is x = 5.

Answer 2

Given:

The difference of four times a number and the number is 10.

Let x be the difference.

The given number is 10.

The four times of a number = four times of 10=40

The equation is

`4x-x=4*10-10`
`3x=30`

Hence the solution is

`x=10`