Just Divide Both Sides

Algebra Level 2

True or false :

If $\color{#D61F06}a\times \color{#3D99F6}b = \color{#D61F06}a\times \color{#20A900}c$ , then $\color{#3D99F6}b = \color{#20A900}c$ must be true.

False True

2 solutions

Akhil Bansal
Dec 21, 2015

$\Large \text{Counter Example :}$

$\large \color{#D61F06}0 \times \color{#3D99F6}2 = \color{#D61F06}0 \times \color{#20A900}3 \Rightarrow \color{#3D99F6}2 \neq \color{#20A900}3$

Omg I ignored the fact that it can be 0

Mardokay Mosazghi - 5 years, 5 months ago

Abdur Rehman Zahid
Dec 22, 2015

$ab=ac\\ ab-ac=0\\ a(b-c)=0$ So either $b=c$ or $a=0$ ,in which case $b$ and $c$ may be any two different numbers.

if 'a' is not equal to zero then the condition should be given as a info in the question. therefore the answer given is correct

Prasath M - 5 years, 5 months ago