Respuesta :

Answer:

Step-by-step explanation:

20x - 26 = 8x + 1

12x - 26 = 1

12x = 27

x = 27/12 = 2 3/12 = 2 1/4 = 2.25

8(2.25) + 1 + 20(2.25) - 26

18 + 1 + 45 - 26

19 + 45 - 26

64 - 26 = 38 = rs

The value of rs is 38 for the given expression.

What is a balancing equation?

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

The two equations are

qr=8x+1  and

qs=20x-26

On equating these two equations,

[tex]8x+1=20x-26[/tex]

⇒ [tex]12x=27[/tex]

⇒ [tex]x = 2.25[/tex]

To find rs, we need to add both equations.

[tex]rs=8x+1+20x-26[/tex]

⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]

⇒ [tex]rs=38[/tex]

Hence we can conclude that the value of rs is 38.

Learn more about the balance equation here

brainly.com/question/13224617

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