Add the following algebraic expressions.
a) $ x+5 $ and $ x+3 $
b) $ 3 x+4 $ and $ 4 x+9 $
c) $ 5 y-2 $ and $ 2 y+7 $ d) $ 8 y-3 $ and $ 5 y-6 $

To do:

We have to add the given algebraic expressions.

Solution:

a) \( x+5 \) and \( x+3 \)

$(x+5)+(x+3)=(x+x)+(5+3)$

$=2x+8$

b) \( 3 x+4 \) and \( 4 x+9 \)

$(3x+4)+(4x+9)=(3x+4x)+(4+9)$

$=7x+13$

c) \( 5 y-2 \) and \( 2 y+7 \)
$(5y-2)+(2y+7)=(5y+2y)+(-2+7)$

$=7y+5$ 

d) \( 8 y-3 \) and \( 5 y-6 \)

$(8y-3)+(5y-6)=(8y+5y)+(-3-6)$

$=13y-9$

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Updated on: 10-Oct-2022

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