Question

100 points!!!

Match the following items.

1.division 2x + x + 4 = -17

2.subtraction. 3x + 4 =-17

3.combine like terms. 3x =- 21

4.Given. x = -7

Answer 1

`\sf Given \longrightarrow 2x + x + 4 = -17`

`\sf \textsf{Combine like terms} \longrightarrow 3 x + 4 = -17`

`\sf \textsf{Subtraction} \longrightarrow 3 x = -21`

`\sf \textsf{Division} \longrightarrow x = -7`

Explanation:

Definition:

Division: The process of splitting something into equal parts.

Subtraction : The process of taking away a number from another number.

Combine like terms : The process of adding or subtracting terms that are similar.

In this case:

Given is:

2x + x + 4 = -17

To solve x, we first

Combine like terms

This equation has three like terms: 2x, x, and 4. To combine like terms, we simply add the coefficients of each term. In this case, the coefficients of 2x and x are both 1, so the combined term is 3x. The combined equation is

3x + 4 = -17

And secondly

Subtraction

To solve this equation for x, we need to subtract 4 from both sides. This gives us the following equation:

3x + 4 - 4 = - 17 - 4

3x = -21

And thirdly

Division

To solve this equation for x, we need to divide by 3 from both sides. This gives us the following equation:

`-(3x )/(3)= (-21)/(-3)`

x = -7

So,

The following shows the correct matches between the items and the equations:

`\sf Given \longrightarrow 2x + x + 4 = -17`

`\sf \textsf{Combine like terms} \longrightarrow 3 x + 4 = -17`

`\sf \textsf{Subtraction} \longrightarrow 3 x = -21`

`\sf \textsf{Division} \longrightarrow x = -7`