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SAI International School
Class X

Mathematics

Chapter-3- Pair of Linear Equations in Two Variables -4

Lesson Notes-4

Sub topics: Word Problems

Linear Equation in Two Variables

An equation which can be put in the form ax + by + c = 0, where a, b and c are real
numbers and a and b are not both zero, {a, b ≠ 0) is called a linear equation in two
variables „x‟ and „y‟

For solving a word problem, you have to go through the data and form a linear equation.
The variables will be the missing part which is asked in the question.

After creating the equation, you can solve it by any method preferred by you.

There are several problems which involve relations among known and unknown
numbers and can be put in the form of equations. The equations are generally stated in
words and it is for this reason we refer to these problems as word problems. With the
help of equations in one variable, we have already practiced equations to solve some
real life problems.

Steps involved in solving a linear equation word problem:

● Read the problem carefully and note what is given and what is required and
what is given.

● Denote the unknown by the variables as x, y, …….

● Translate the problem to the language of mathematics or mathematical
statements.

● Form the linear equation in one variable using the conditions given in the
problems.

● Solve the equation for the unknown.

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