Question

solve the following equations by transportation method and check the result: 1. 2(x–2) – 3(x–2) = 6(x–6)​

Answer 1

Question :

Q) Solve the following equation by transportation method and check the results :

To find :

The value of x=?

Given Equation :

(1) 2(x-2)-3(x-2)=6(x-6)

$\large\sf{\color{red} ANSWER:}$

$\\ \qquad\large\dashrightarrow \: \: \sf \: 2 (x - 2) - 3(x - 2) = 6(x - 6)$

$\\ \qquad\large \dashrightarrow \sf \: 2x - 4 - 3x + 6 = 6x - 36$

$\\ \qquad \large \dashrightarrow \sf \: - x + 2 = 6x - 6$

$\\ \qquad \large \dashrightarrow \sf \: - x + 2 - 6x + 6 = 0$

$\\ \qquad \large \dashrightarrow \sf \: - x - 6x + 8 = 0$

$\\ \qquad \large \dashrightarrow \sf \: - 7x + 8 = 0$

$\\ \qquad\large \dashrightarrow \sf \: - 7x = - 8$

$\\ \qquad \large \dashrightarrow \sf \: \cancel{ - }7x = \cancel{ - }8$

$\\ \qquad\large \dashrightarrow \sf \: 7x = 8$

$\: \\ \qquad\large \dashrightarrow \sf \: x = \frac{8}{7}$

$\qquad\large \red \bigstar \boxed{ \underline{ \bf{the \: value \: of \: x \: is \: \frac{8}{7} }}}$

Answer 2

$2(x - 2) - 3( x -2) = 6(x - 6) \\ 2x - 4 - 3x - 6 = 6x - 36 \\ x + 10 = 6x \: - 36 \\ x - 6x = - 36 - 10 \\ - 5x \: = - 46 \\ x = - 46 + 5 \\ x = 41$