Question

solve the equation and check your answer.
1. 4(2y - 3) + 5(3y - 4) = 14​

Answer 1

$\sf{ \huge{\underline{\underline{Answer \::-}}}}$

♦ As given in the question :-

4(2y - 3) + 5(3y - 4) = 14

♦ By simplifying

(8y - 12) + (15y - 20) = 14

$\implies (8y + 15y) + (-12 -20 ) = 14$

$\implies (23y) + (-32 ) = 14$

$\implies 23y - 32 = 14$

$\implies 23y = 14 + 32$

$\implies 23y = 46$

$\implies y = \dfrac{46}{23}$

$\implies y = 2$

$\sf{ \large{\underline{\underline{Checking\::-}}}}$

♦ By putting the value of y = 2 in

4(2y - 3) + 5(3y - 4) = 14

$\implies 4( 2(2) - 3 ) + 5(3(2) - 4 ) = 14$

$\implies 4(4 - 3) + 5( 6 - 4) = 14$

$\implies 4(1) + 5(2) = 14$

$\implies 4 + 10 = 14$

$\implies 14 = 14$

♦ Then as RHS = LHS

value of Y = 2 is correct .