Question

If A = (2a - 3) and B = (5 - 3a) be two algebraic expressions such that 2A + B = 6, then find the value of a.​

Answer 1

⠀

$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

⠀

$\sf{\underline{\green{AnswEr:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The required value of a = 7

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Given:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• If A = (2a - 3) and B = (5 - 3a) be two algebraic expressions such that 2A + B = 6.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Find:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The required value of a = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf{\underline{\green{Explanation:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\sf {2A + B = 6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {2 \times (2a - 3) + (5 - 3a) = 6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {4a - 6 + 5 - 3a = 6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {a - 1 = 6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {a = 6 + 1 }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longrightarrow \sf {a = 7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The required value of a is 7.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\rule{200}{2}$

Answer 2

Step-by-step explanation:

if A = (2a - 3)

B = (5 - 3a)

B = (5 - 3a) then

2A + B = 6

2(2a - 3) + (5 - 3a) = 6

4a -6 + 5 - 3a = 6

a - 1 = 6

a = 7