Question

Solve :

$1) \: 5x + 9 = 5 + 3x$
$2) \: 2x - 1 = 14 - x$
______
Kindly solve both of them.​

Answer 1

Step-by-step explanation:

5x-3x = 5-9

2x=-4

x=-2

2x+x=14+1

3x=15

x=5

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Answer 2

$\sf{Lets \: Solve!}$

$\sf{|A|| \: 5x + 9 = 5 + 3x}$

$\Rightarrow$ $\sf{5x - 3x + 9 = 5}$

$\sf{2x + 9 = 5}$

$\sf{2x = 5 - 9}$

$\sf{2x = - 4}$

$\sf{x = \dfrac{ - 4}{2} = - 2}$

$\sf\underline{x = -2}$

$\sf{Lets \: check!}$

$\sf{5x - 2 + 9 = 5 + 3 \times - 2}$

$\sf{- 10 + 9 = 5 + - 6}$

$\sf\underline{ - 1 = - 1}$

$\sf{Therefore,Its \: correct!}$

______

$\sf{||B|| \: 2x - 1 = 14 - x}$

$\Rightarrow$ $\sf{2 + x - 1 = 14}$

$\sf{3x - 1 = 14}$

$\sf{3x = 14 + 1}$

$\sf{3x =15}$

$\sf{x = \dfrac{15}{3} = 5}$

$\sf\underline{x=5}$

$\sf{Lets \: check!}$

$\sf{2 \times 5 - 1 = 14 - 5}$

$\sf{10 - 1 = 14 - 5}$

$\sf\underline{9 = 9}$

$\sf{Hence,its \: correct!}$