Question

The sum of two numbers is 34.Express the given statement as a linear equation in two variables.

Answer 1

Let the two numbers are x and y.

According to the question sum of the numbers is 34.


Therefore, sum of x and y is 34.

$\therefore x + y = 34$


Hence, required equation is x + y = 34.

$.$

Answer 2

The required linear equation in two variables is x + y = 34

Given :

The statement " The sum of two numbers is 34 "

To find :

Express the statement as a linear equation in two variables

Solution :

Step 1 of 3 :

Define linear equation

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

General form of a linear equation in two variables is ax + by = c where a, b, and r are real numbers ( a and b are not both equal to 0)

Step 2 of 3 :

Write down the given statement

Here the given statement is " The sum of two numbers is 34 "

Step 3 of 3 :

Express the statement as a linear equation in two variables

Let the two numbers are x and y

The sum of two numbers x and y = x + y

By the given condition

x + y = 34

The above equation is of the form ax + by = c where a = 1 , b = 1 and c = 34

Hence the required linear equation in two variables is

x + y = 34

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