Class 8 Maths Chapter 2 Linear Equations In One Variable exercise 2.3 pdf notes:-
Exercise 2.3 Class 8 maths Chapter 2 Pdf Notes:-
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Ncert Solution for Class 8 Maths Chapter 2 Linear Equations In One Variable Exercise 2.3 Tips:
Solving Equations having the Variable on
An equation is the equality of the values of two expressions. In the equation 2x – 3 = 7,
the two expressions are 2x – 3 and 7. In most examples that we have come across so
far, the RHS is just a number. But this need not always be so; both sides could have
expressions with variables. For example, the equation 2x – 3 = x + 2 has expressions
with a variable on both sides; the expression on the LHS is (2x – 3) and the expression
on the RHS is (x + 2).
WHAT HAVE WE DISCUSSED?
- 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.
- The equations we study in Classes VI, VII and VIII are linear equations in one variable. In such
equations, the expressions which form the equation contain only one variable. Further, the equations
are linear, i.e., the highest power of the variable appearing in the equation is 1.
- A linear equation may have for its solution any rational number.
- An equation may have linear expressions on both sides. Equations that we studied in Classes VI
and VII had just a number on one side of the equation.
- Just as numbers, variables can, also, be transposed from one side of the equation to the other.
- Occasionally, the expressions forming equations have to be simplified before we can solve them
by usual methods. Some equations may not even be linear to begin with, but they can be brought
to a linear form by multiplying both sides of the equation by a suitable expression.
- The utility of linear equations is in their diverse applications; different problems on numbers, ages,
perimeters, combination of currency notes, and so on can be solved using linear equations.