Question
From the sum of 2x + 7 and 5y + 3 subtract the sum of 7x + 4y + 5 and 3x + 2y

1 thought on “Question<br /> From the sum of 2x + 7 and 5y + 3 subtract the sum of 7x + 4y + 5 and 3x + 2y”

1. Given :-

   • From the sum of 2x+ 7 and 5y + 3 subtract the sum of 7x + 4y + 5 and 3x + 2y

   Solution :-

   ❒ Firstly we’ll add ( 7x + 4y + 5 ) and ( 3x + 2y ) and then subtract sum of ( 2x + 7 ) and ( 5y + 3 ) from it.

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   Finding sum of first pair :-

   [tex]\sf \implies ( 7x + 4y + 5 ) + ( 3x + 2y )[/tex]

   [tex]\sf \implies 7x + 4y + 5 + 3x + 2y[/tex]

   [tex]\sf \implies ( 7x + 3x ) + ( 4y + 2y ) + 5[/tex]

   [tex]\boxed{\bf{ \bigstar \;\; 10x + 6y + 5 }}[/tex]

   Finding the sum of second pair :-

   [tex]\sf \implies ( 2x + 7 ) + ( 5y + 3 )[/tex]

   [tex]\sf \implies 2x + 7 + 5y + 3[/tex]

   [tex]\sf \implies 2x + 5y + ( 3 + 7 )[/tex]

   [tex]\boxed{\bf{ \bigstar \;\; 2x + 5y + 10 }}[/tex]

   Finding the difference :-

   [tex]\sf \implies ( 2x + 5y + 10 ) -(10x+6y+5)[/tex]

   [tex]\sf \implies 2x + 5y + 10 -10x -6y -5[/tex]

   [tex]\sf \implies ( 2x -10x ) + (5y-6y) + ( 10-5 )[/tex]

   [tex]\sf \implies (-8x) + (-y) + ( 5)[/tex]

   [tex]\boxed{\bf{ \bigstar \;\; -8x-y+5 }}[/tex]

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   Hence,

   • The answer is -8x – y + 5

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