Question

x minus 9 upon x minus 5 is equal to 5 upon 7

Answer 1

Hey there!

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Question: x minus 9 upon x minus 5 is equal to 5 upon 7

Well, Welcome to the introduction to Linear Equations in one variable!

What is an equation?

=> An Equation is a mathematical language which has variable along with an 'equal to' sign.

What is a Linear equation?

=>  An equation is said to be Linear when the highest power of the variable is 1.

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Solution:

Let us find the value of x.

x-9/x-5 = 5/7

7x - 63 = 5x - 25

7x - 5x = -25 + 63

2x = 38

x = 38/2

x = 19

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Hope this helps! :)

Answer 2

$\huge\bold\red{Solution : \longrightarrow}$

$\mathsf{= > \frac{x - 9}{x - 5} = \frac{5}{7} }$

$\mathsf{= > 5(x - 5) = 7(x - 9)}$

$\mathsf{ = > 5x - 25 = 7x - 63}$

$\mathsf{ = > 5x - 7x = - 63 + 25}$

$\mathsf{ = > - 2x = - 38}$

$\mathsf{ = > x = \frac{ - 38}{ - 2} }$

$\mathsf{= > x = 19}$

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