Chapter 2: Q38. (page 66)

Write each equation in standard form. Identify A, B and C.
$0.25 x = 0.1 + 0.2 y$

Short Answer

Expert verified

The standard form of the given equation is $5 x - 4 y = 2$ and the value of A, B and C are $5, - 4 and 2$ respectively.

Step by step solution

Step 1- Given information

A linear equation $0.25 x = 0.1 + 0.2 y$ .

Step 2- Concept used

The Standard form of a linear equation is:

$A x + B y = C$ where, A, B and C are integers whose greatest common factor is 1.

Step 3- To find the standard form and value of A, B and C

From given information,

$\begin{array}{l} 0.25 x = 0.1 + 0.2 y \\ \Rightarrow \frac{25}{100} x = \frac{1}{10} + \frac{2}{10} y \\ \Rightarrow \frac{1}{4} x = \frac{1}{10} + \frac{1}{5} y \\ \Rightarrow \frac{1}{4} x - \frac{1}{5} y = \frac{1}{10} \\ \Rightarrow \frac{5 x - 4 y}{20} = \frac{1}{10} \\ \Rightarrow 5 x - 4 y = \frac{20}{10} \\ \Rightarrow 5 x - 4 y = 2 \end{array}$

The standard form of the given equation is:

$5 x - 4 y = 2$

Now compare this equation by the equation $A x + B y = C$ .

So, $A = 5, B = - 4 and C = 2$

Hence, the standard form of the given equation is $5 x - 4 y = 2$ and the value of A, B and C are $5, - 4 and 2$ respectively.

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Write each equation in standard form. Identify A, B and C.
$0.25 x = 0.1 + 0.2 y$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find the standard form and value of A, B and C

One App. One Place for Learning.

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Write each equation in standard form. Identify A, B and C.0.25x=0.1+0.2y

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find the standard form and value of A, B and C

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Write each equation in standard form. Identify A, B and C.
$0.25 x = 0.1 + 0.2 y$