Name: Linear Equations With One or More Variables
Uploaded: 2019-07-19
Duration: 11 min 20 s
Description: Let's learn the concept of linear equations, the introduction of linear algebra, the formation of linear equations in one, two and three variables, etc.

Question

In countries like USA and Canada temperature is measured in Fahrenheit whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius $F = (\frac{9}{5}) C + 32$ . If the temperature is $95 ° F$ what is the temperature in Celsius?

Accepted Answer

Given, $F = (\frac{9}{5}) C + 32$

To obtain the solutions, we choose a few values of $C$ ( $x -$ coordinates), and compute the corresponding values of $F$ ( $y -$ coordinates), using the equation. The solutions are generally presented as ordered pairs $(x, y)$ , which represent the $x$ and $y$ coordinates of the points in the Cartesian Plane.

Table of solutions:

$C$

Value: $F = \frac{9 C + 160}{5}$

$F$

Point

$0$

$F = \frac{9 (0) + 160}{5}$

$F = 32$

$A (0, 32)$

$- \frac{160}{9}$

$F = \frac{9 (- \frac{160}{9}) + 160}{5}$

$F = 0$

$B (- \frac{160}{9}, 0)$

$5$

$F = \frac{9 (5) + 160}{5}$

$F = 41$

$C (5, 41)$

$- 5$

$F = \frac{9 (- 5) + 160}{5}$

$F = 23$

$D (- 5, 23)$

The geometrical representation of the above data is as shown below:

From the graph, we may observe that if the Fahrenheit temperature is $95 ° F$ , then the corresponding temperature in Celsius is $35 ° C$ .

In countries like USA and Canada temperature is measured in Fahrenheit whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius $F = (\frac{9}{5}) C + 32$ . If the temperature is $95 ° F$ what is the temperature in Celsius?

Important Points to Remember in Chapter -1 - Linear Equations in Two Variables from Telangana Board Mathematics Class 9 Solutions

Learn and Prepare for any exam you want !

In countries like USA and Canada temperature is measured in Fahrenheit whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius F=95C+32. If the temperature is 95°F what is the temperature in Celsius?

Important Points to Remember in Chapter -1 - Linear Equations in Two Variables from Telangana Board Mathematics Class 9 Solutions

Learn and Prepare for any exam you want !

In countries like USA and Canada temperature is measured in Fahrenheit whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius $F = (\frac{9}{5}) C + 32$ . If the temperature is $95 ° F$ what is the temperature in Celsius?