Linear equations are equations that represent a straight line relationship between two variables. They take the form of Ax + B = C, where A and B are constants and x and C are variables. To solve linear equations, properties of equality can be used such as addition and multiplication properties. For example, to solve the equation 3x = 24, you can divide both sides by 3 to get x = 8. Sample exercises are provided to demonstrate solving different types of linear equations using these properties.

1. Linear
Equations
HOW TO SOLVE??

2. What is Linear Equation?
• Equation for a straight Line
• First Degree Equation
• In the form of Ax+B=C

5. Example: y = 2x + 1 is a linear equation:
The graph of y = 2x+1 is a
straight line
•When x increases, y increases twice
as fast, so we need 2x
•When x is 0, y is already 1. So +1 is
also needed
•And so: y = 2x + 1
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5

6. FINDING THE VALUE OF X in
Linear Equation (One Variable)
X + 5 = 2
X = 2 – 5
X = -3
3x = 24
3x/3 = 24/3
X = 8

7. ADDITION PROPERTY
X + 5 = 2
X = 2 – 5
X = -3
X+5=2
X+5+(-5)=2+(-5)
X=2-5
X=-3
A = B
A+C = B+C

8. ADDITION PROPERTY
3x – 4 = 2x + 3
3x – 4 + 4 = 2x + 3 + 4
3x + (-2x) = 2x + (-2x) + 7
X = 7
A = B
A+C = B+C

9. MULTIPLICATION PROPERTY
A = B
AC = BC
3x = 24
3x/3 = 24/3
X = 8
3x=24
3x(1/3)=24(1/3)
3x/3 = 24/3
X = 8

10. MULTIPLICATION PROPERTY
A = B
AC = BC
5x – 6 = x + 2
5x - x = 2 + 6
4x = 8
4x/4 = 8/4
X = 2

11. Exercise
1. X – 5 = 20
2. X + 2 = 2x – 3
3. 6x = -56
4. 3x + 2 = 6x – 11
5. 1/2x – 4 = 1/3x + 5

12. Your best quote that reflects your
approach… “It’s one small step for
man, one giant leap for mankind.”
- NEIL ARMSTRONG