What are these +2's and +3's used for in solving first-degree equations?

  • Thread starter Tregg Smith
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In summary, the conversation is about solving first-degree equations and the use of +2 and +3 to show the addition and division steps in the process. The person is also asking for software recommendations to help with formatting and alignment of math problems.
  • #1
Tregg Smith
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I'm brushing up on algebra. In the second line what are these +2's for ? I couldn't get all the columns to line up. BTW does anybody know any software for writing down math problems that solves this alignment problem?

Solving first-degree equations

3x-2=16
+2 +2 what are these +2's ?
3x=18

3x = 18
3 3

x=6

 
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  • #2
Tregg Smith said:
I'm brushing up on algebra. In the second line what are these +2's for ? I couldn't get all the columns to line up. BTW does anybody know any software for writing down math problems that solves this alignment problem?

Solving first-degree equations

3x-2=16
+2 +2 what are these +2's ?
3x=18

3x = 18
3 3

x=6
The 2's are shown to indicate that 2 is being added to both sides of the equation. Similarly, the 3's indicate that each side is being divided by 3.

Starting from any equation, if you add the same quantity to both sides of the equation, you get a new equation with the same solution set. Also, if you multiply or divide both sides of an equation (you can't divide by zero, though), the new equation has the same solution set as the previous equation.
 

FAQ: What are these +2's and +3's used for in solving first-degree equations?

What is a first degree equation?

A first degree equation is an algebraic equation that contains one variable raised to the first power, with constants and coefficients. It can be written in the form ax + b = 0, where a and b are constants and x is the variable.

How do you solve a first degree equation?

To solve a first degree equation, you need to isolate the variable on one side of the equal sign. This can be done by using inverse operations, such as addition, subtraction, multiplication, and division. The goal is to get the variable by itself on one side of the equation and a numerical value on the other side.

What are the steps for solving a first degree equation?

The steps for solving a first degree equation are:

  1. Combine like terms on both sides of the equation
  2. Isolate the variable by using inverse operations
  3. Check your solution by plugging it back into the original equation

Can a first degree equation have more than one solution?

Yes, a first degree equation can have more than one solution. This happens when the variable can take on multiple values that make the equation true. For example, the equation 2x + 4 = 12 has the solutions x = 4 and x = 8.

How are first degree equations used in real life?

First degree equations are used in a variety of real-life situations, such as calculating distances, rates, and prices. They are also used in solving problems related to time, money, and proportions. For example, a first degree equation can be used to calculate the cost of buying a certain number of items at a given price.

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