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Answer:

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Step-by-step explanation:

[tex]\left \{ {{-x+y=3.5 ---1} \atop {x+3y=9.5---2}} \right.[/tex]

(1+2)

4y=13

y=13/4

The value of y is 1.5

What is system of equations?

"It is a set of equations for which we find the common solution."

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given a system of equations.

-x + y = -3.5               ................(1)

x + 3y = 9.5               ..................(2)

From equation (1),

y = -3.5 + x                ...................(3)

Substitute above value of y in equation (2),

⇒ x + 3( -3.5 + x) = 9.5

⇒ x - 10.5 + 3x = 9.5

⇒ 4x - 10.5 = 9.5

⇒ 4x = 9.5 + 10.5

⇒ 4x = 20

⇒ x = 5

Substitute the above value x in equation (3),

⇒ y = -3.5 + 5

⇒ y = 1.5      

Therefore, the value of y is 1.5

Learn more about the system of equations here:

https://brainly.com/question/12895249

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