Question

3(a+b)=243 243(a-b)=3 find the value of b

please urgent

Answer 1

Answer:

Step-by-step explanation:

Now, 3a³b - 243ab³

= 3ab (a² - 81b²)

= 3ab {(a)² - (9b)²}

= 3ab (a + 9b) (a - 9b),

Answer 2

Answer

• a = 13 / 5 , b = 12 / 5

Given

$\bf 3^{a+b}=243\\\\\bf 243^{a-b}=3$

To Find

• Value of a and b

Solution

$\bf 3^{a+b}=243\\\\\implies \bf 3^{a+b}=3^5\\\\\implies \bf a+b=5...(1)\\\\\bf 243^{a-b}=3\\\\\implies \bf 3^{5(a-b)}=3\\\\\implies \bf 5(a-b)=1\\\\\implies \bf a-b=\dfrac{1}{5}...(2)$

Now , add (1) & (2) ,

$\implies \bf (a+b)+(a-b)=5+\dfrac{1}{5}\\\\\implies \bf 2a=\dfrac{26}{5}\\\\\implies \bf a=\dfrac{13}{5}$

Sub. a value in (2) , we get ,

$\implies \bf b=\dfrac{13}{5}-\dfrac{1}{5}\\\\\implies \bf b=\dfrac{12}{5}$