Course Content
Solving Linear Equations
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Solving Linear Inequalities
Graphing Linear Functions
Writing Linear Functions
Solving Systems of Linear Equations
Solving Systems of Linear Inequalities
Graphing Quadratic Functions
Solving Quadratic Equations
Exponential Functions and Sequences
Polynomial Equations and Factoring
Radical Functions and Equations
Rational Expressions
Solving Equations with Rational Expressions
Data Analysis and Displays
Algebra 1
About Lesson

Let’s create a demo for solving a linear equation, focusing on one of the most common forms of linear equations: ax+b=c, where ab, and c are constants. Solving such an equation involves finding the value of x that makes the equation true.

Example Problem:

Solve the linear equation 3x+4=10.

Step 1: Identify the Equation

Our equation is 3x+4=10, where a=3, b=4, and c=10.

Step 2: Isolate the Variable

To solve for x, we need to get x by itself on one side of the equation. We’ll do this by performing operations that will isolate x.

First, subtract 4 from both sides of the equation to get rid of the constant term on the side with x.

3x+4−4=10−4

Step 3: Simplify

After subtraction, the equation simplifies to:

3x=6

Next, to isolate x, divide both sides of the equation by 3, the coefficient of x.

3x : 3 =6 : 3 

Step 4: Solve for x

Solving the equation gives us:

x=2

 

Conclusion:

The solution to the linear equation 3x+4=10 is x=2.

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