Math, asked by dreema193, 3 months ago

x+2/5 - x-1/2 = 3x-9/2 solve it​

Answers

Answered by Anonymous
6

 \\  \\ \underline{ \underline{  \sf   \red{solution : } }} \\  \\

 \\ \sf \:  \frac{x + 2}{5}  -  \frac{x - 1}{2}  =  \frac{3x - 9}{2}   \\  \\  \\  \sf cross \: multiplying...we \: get... \\  \\   \\   \implies\sf \:  \frac{2(x + 2) - 5(x - 1)}{5 \times 2}  =  \frac{3x - 9}{2}  \\  \\  \\   \implies\sf \:  \frac{ {2x + 4 - 5x + 5} }{10}  =  \frac{3x - 9}{2}  \\  \\  \\  \implies \sf \:  \frac{ - 3x + 9}{10}  =  \frac{3x - 9}{2}  \\  \\  \\  \sf \:cross \: multiplying...we \: get.. \\  \\  \\  \sf   \implies \: 2( - 3x + 9) = 10(3x - 9) \\  \\  \\  \implies \sf   - 6x + 18 = 30x - 90 \\  \\  \\  \implies \sf  - 6x - 30x =  - 90 - 18 \\  \\  \\  \implies \sf  - 36x =   - 108 \\  \\  \\ \implies \sf x =    \cancel\frac{ - 108}{ - 36}  \\  \\  \\ \implies  \boxed{ \sf  \pink{x = 3}} \\  \\

Hence, value of x is 3.

Answered by vivekrajput6402
0

Step-by-step explanation:

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