Question

25.If -4x + 5y is subtracted from 3x + 2y then the answer will be
A.3x + 6y
B.2x + 5y
C.7x - 3y
D.x + 3y​

Answer 1

If - 4x + 5y is subtracted from 3x + 2y then the answer will be 7x - 3y

Given :

The expressions - 4x + 5y and 3x + 2y

To find :

If - 4x + 5y is subtracted from 3x + 2y then the answer will be

A. 3x + 6y

B. 2x + 5y

C. 7x - 3y

D. x + 3y

Solution :

Step 1 of 2 :

Write down the given expressions

Here the given expressions are - 4x + 5y and 3x + 2y

Step 2 of 2 :

Subtract - 4x + 5y from 3x + 2y

Subtracting - 4x + 5y from 3x + 2y we get

$\displaystyle \sf{ (3x + 2y) - ( - 4x + 5y) }$

$\displaystyle \sf{ = 3x + 2y + 4x - 5y }$

$\displaystyle \sf{ = 3x + 4x + 2y - 5y }$

$\displaystyle \sf{ = (3+ 4)x +( 2 - 5)y }$

$\displaystyle \sf{ = 7x - 3y }$

Hence the correct option is C. 7x - 3y

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Answer 2

Given: $-4x + 5y$ is subtracted from $3x + 2y$.

$3x + 2y-(-4x+5y)=3x + 2y+4x-5y\\3x + 2y-(-4x+5y)=7x -3y$

Option C is correct answer.

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