Linear Equations in One Variable

As we learnt about the equation, how they satisfied both sides in Algebraic equation.

Equations use the equality (=) sign. Here we will learn with equations with linear expressions in one variable only. Such equations are known as linear equations in one variable.

The equations with linear expressions in one variable only. Such equations are known as linear equations in one variable.

2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side

An algebraic equation is an equality involving variables. It has an 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).

2.3 Some Applications

Like a puzzle here, we do not know either of the two numbers, and we have to find them. We are given two conditions.

2.4 Solving Equations having the Variable on both Sides

Yet we learnt with one variable. Here we go to learn of An equation is the equality of the values of two expressions. such equations which have expressions with the variable on both sides.

e.g. → 2x − 3 = x + 2

2x = x + 2 + 3

or, 2x = x + 5

or, 2x − x = x + 5 − x (subtracting x from both sides)

or, x = 5

2.5 Some More Applications

If the digits are interchanged, and the resulting number is added to the original number. That will be equal to each other.

2.6 Reducing Equations to Simpler Form

There has many ways to solve the equation. In one way that multiply the both side of equation with the same number that make some common or can find LCM of denominator and multiply them.

2.7 Equations Reducible to the Linear Form

In some of the equation is not a linear equation, since the expression on its LHS is not linear. But we can put it into the form of a linear equation.

For this kind of equation, we can multiply the both side of equation with the same number that make some common and then solve them.