Question

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

Answer 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 :-

$\sf \implies ( 7x + 4y + 5 ) + ( 3x + 2y )$

$\sf \implies 7x + 4y + 5 + 3x + 2y$

$\sf \implies ( 7x + 3x ) + ( 4y + 2y ) + 5$

$\boxed{\bf{ \bigstar \;\; 10x + 6y + 5 }}$

Finding the sum of second pair :-

$\sf \implies ( 2x + 7 ) + ( 5y + 3 )$

$\sf \implies 2x + 7 + 5y + 3$

$\sf \implies 2x + 5y + ( 3 + 7 )$

$\boxed{\bf{ \bigstar \;\; 2x + 5y + 10 }}$

Finding the difference :-

$\sf \implies ( 2x + 5y + 10 ) -(10x+6y+5)$

$\sf \implies 2x + 5y + 10 -10x -6y -5$

$\sf \implies ( 2x -10x ) + (5y-6y) + ( 10-5 )$

$\sf \implies (-8x) + (-y) + ( 5)$

$\boxed{\bf{ \bigstar \;\; -8x-y+5 }}$

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Hence,  

• The answer is -8x - y + 5

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