LINEAR EQUATION IN ONE VARIABLE- ESSENTIAL POINTS
- A statement of equality of two algebraic expressions involving one or more variables. Example: x + 2 = 3
- Linear Equation in One variable contain single variable and the highest power of the variable in the equation is one.
- An algebraic equation is an equality involving variables. Value of the expression on one side of the equality is equal to the value of the expression on the other side of equation.
- The equation is linear mean that highest power of variable that appear in equation is 1.
- Linear equation may have any rational number as its solution.
- Linear expressions may be present on both sides of equation.
- Transposing means moving to the other side. Transposition of a number is similar to adding same number to both sides of the equation or subtracting the same number from both sides of equation.
- When a number is transposed from one side of the equation to the other side, we change its sign. For example, transposing +3 from the LHS to the RHS in equation x + 3 = 8 gives x = 8 – 3 = 5.
- We can carry out the transposition of an expression in the same way as the transposition of a number.
- Similar to number, variables can be transposed from one side of equation to another side.
- Some equations that are not linear can be brought down to linear form by multiplying or dividing both sides by suitable expression.
