Question

Write a linear equation in two variables "The sum of two numbers is 34 degrees .​

Answer 1

★ The required linear equation is m + n = 34°.

Step-by-step explanation

Analysis -

‎ ‎ ‎ ‎ ‎A linear equation with two variables has to be formed for the data: "The sum of two numbers is 34 degrees".

Solution -

First, let us know what a linear equation is!

We know that, an equation is a sentence in which there is an equality sign between two algebraic expressions. For example: 2x + 5 = 25. While, an equation, in which the highest index of the unknown present is one, is a linear equation. For example, 2(x + 5) = 18 is a linear equation.

To construct a linear equation, we need algebraic expressions. Algebraic expressions are nothing but, a combination of constants and variables connected by +, –, × and ÷ signs.

• Constant: A number having a fixed numerical value is called a constant. For example - 3, ⅚ , 6.7, etc.
• Variable: A number which can take various numerical values is known as a variable. For example - a, b, c, etc.

Now coming back to our question, first we have to form an algebraic expression. As per the analysis, 'the addition of two variables' is the required algebraic expression. Let the two variables be 'm' and 'n' and the mathematical operator which is to be used is plus (+).

$\: \: \: \: \: \twoheadrightarrow{ \boxed{ \sf{Expression: \bf{m + n}}}}$

This is the L.H.S!

As per the question, the R.H.S will be 34°. On equating the L.H.S and the R.H.S, we get:

$\\ \twoheadrightarrow\underline{ \boxed{ \sf{Linear \: equation : \bf \pink{m + n = 34 \degree}}}}$

And this is the required answer!

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Answer 2

GivEn:

• The sum of two numbers is 34°

To find:

• Form a linear equation using the given data?

Solution:

• Let the two unknown variables be x and y respectively.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

Therefore,

Sum = (+). So, x + y ⠀⠀ ❬ eq (1) ❭

★ According to the Question:

Using equation 1,

As, The sum of both the variables is 34, The equation will be,

➯ x + y = 34°

∴ Hence, The required equation for "The sum of two numbers is 34 degrees" is x + y = 34°.⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀✮ More to know:

• Constant is a number.

• The alphabet used in equation etc, Especially x & y is called a variable.

• An equation with variables and constants is called linear equation.

• The formula for forming a linear equation with two variables : Ax + By = C. This is the easiest method to form a linear equation with two variables.

• A mathematical expression is called an equation.