Question

read the following and answer the questions.
note:
to solve any equation is to get the variable by itself on one side of the equation.
to solve a two step equation

1. move the constant term to the other side and change the sign
2. undo the coefficient by either dividing or multiplying

consider 7 - 4x = - 13

1. list out all the terms that are on the left hand side.
2. list out all the terms that are on the right hand side.
3. what is the coefficient of x?
4. what is the constant term on the left.
5. what does it mean when you are asked to solve an equation.
6. what is the first step in solving a two step equations?

Explanation:

Step1: Analyze the equation \(7 - 4x=-13\)

For the left - hand side terms:
The terms on the left - hand side of the equation \(7 - 4x=-13\) are \(7\) and \(-4x\).
For the right - hand side terms:
The term on the right - hand side of the equation \(7 - 4x=-13\) is \(-13\).
For the coefficient of \(x\):
In the term \(-4x\), the coefficient of \(x\) is \(-4\).
For the constant term on the left:
In the equation \(7 - 4x=-13\), the constant term on the left is \(7\).
For the meaning of solving an equation:
Solving an equation means finding the value of the variable (in this case \(x\)) that makes the equation a true statement.
For the first step in solving a two - step equation:
The first step in solving a two - step equation (for \(ax + b=c\) form) is to move the constant term. In the equation \(7-4x=-13\), we move the constant term \(7\) to the other side.

Answer:

1. Terms on the left - hand side: \(7\), \(-4x\)
2. Term on the right - hand side: \(-13\)
3. Coefficient of \(x\): \(-4\)
4. Constant term on the left: \(7\)
5. Solving an equation means finding the value of the variable that makes the equation true.
6. First step in solving a two - step equation: Move the constant term to the other side.