Linear Equations in one variable

1. Linear Equations in
One Variable
Satyajeet Parida

2. Objectives and Outcomes
• Objective:
To explain about
Expressions, Equations, Linear Equations and solving one variable
linear equations.
• Outcomes:
Student will be able to,
Differentiate between expressions and equations
Identify One variable linear equations
Simplify and solve one variable linear equations

3. Algebraic Expressions
• Some examples of expressions are:
5x, 2x – 3, 3x + y, 2xy + 5, xyz + x + y + z
• Some examples of equations are:
5x = 25,
2x – 3 = 9

4. Linear Equations
• A linear equation is like a math sentence that says two things are equal and the
highest power of the variable is just 1. It looks like this:
3x+6=21
• Here, x is the variable.
• The cool thing is, if you know the value of x, you can find out what makes the
equation true! It's like solving a puzzle to figure out the missing piece.

5. Solving Linear Equations
• 2x – 3 = 7. For x = 5,
• LHS = 2 × 5 – 3 = 7 = RHS
• x = 5 is the solution of the equation
• On the other hand x = 10 is not a solution of the
• equation. For x = 10, LHS = 2 × 10 –3 = 17.
• This is not equal to the RHS

6. Solving Equations having the Variable on
both Sides
• We now discuss how to solve such equations which have expressions with the
variable on both sides.
Solve 2x – 3 = x + 2
• General Thumb Rule
• Isolate x: First, let's get all the x's on one side of the equation.
• Get rid of the extra numbers : Now, let's kick out anything that's not x's business.
Add/ Subtract/ Divide/Multiply to simplify the equation.

7. Sample Problems

8. Reducing Equations to Simpler Form

9. Thank You