An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side.
- We will restrict the above equation with two conditions.
- An equation of the form ax + b = 0, where a and b are real numbers, such that a is not equal to zero, is called a linear equation in one variables
- These all equation contains the equality (=) sign.
- The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).
- In an equation the values of the expressions on the LHS and RHS are equal. This happens to be true only for certain values of the variable. These values are the solutions of the equation.
- We assume that the two sides of the equation are balanced. We perform the same mathematical operations on both sides of the equation, so that the balance is not disturbed. We get the solution after generally performing few steps.
- A linear equation in one variable has only one solution.
Type of method
1. Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
Working of method
2. Solving Equations having the Variable on both Sides
Working of method
3. Solving Complex Equations (having number in denominator) having the Variable on both Sides
Working of method
4. Equations Reducible to the Linear Form
Working of method
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1. How do you solve a linear equation in one variable? |
2. What is the general form of a linear equation in one variable? |
3. Can a linear equation have more than one solution? |
4. How do you check if a certain value is a solution to a linear equation? |
5. Can a linear equation in one variable have a variable on both sides of the equation? |
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