Question

5xy + 11ab = 16xyab

Select one:

True

False

​

Answer 1

Given : 5xy + 11ab = 16xyab

To Find : True or False

Solution:

5xy + 11ab = 16xyab

Like terms are the terms whose variables and their exponents are the same.

Only like terms can be added

5xy  has variable xy

11ab  has variable ab

Hence these terms can not be added as these are not like term

Hence 5xy + 11ab can not be simplified further

so 5xy + 11ab ≠ 16xyab

so 5xy + 11ab = 16xyab is FALSE

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Answer 2

given,

5xy + 11ab = 16xyab

False

5xy+11ab-16xyab=0

$\mathrm{Subtract\:}5xy\mathrm{\:from\:both\:sides}\\5xy+11ab-16xyab-5xy=0-5xy\\11ab-16xyab=-5xy\\ab\left(11-16xy\right)=-5xy\\\mathrm{Divide\:both\:sides\:by\:}b\left(11-16xy\right);\quad \:b\left(11-16xy\right)\ne \:0\\\frac{ab\left(11-16xy\right)}{b\left(11-16xy\right)}=\frac{-5xy}{b\left(11-16xy\right)};\quad \:b\left(11-16xy\right)\ne \:0\\a=-\frac{5xy}{b\left(11-16xy\right)};\quad \:b\left(11-16xy\right)\ne \:0$