If y = 4 and x = 2y - 3, what is the value of x + y?

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To find the value of ( x + y ), we first need to calculate the value of ( x ) using the equation ( x = 2y - 3 ) and the given value of ( y = 4 ).

Substituting ( y = 4 ) into the equation:

[

x = 2(4) - 3

]

This simplifies to:

[

x = 8 - 3

]

Thus, ( x = 5 ).

Now, we can find ( x + y ):

[

x + y = 5 + 4

]

This gives us:

[

x + y = 9

]

Therefore, the value of ( x + y ) is 9, which corresponds with the choice that states 9. This calculation shows the straightforward application of the algebraic equation to derive the required sum of ( x ) and ( y ).

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