Solve for x : 7x-6/3 + 4 = x-1/2
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Answered by
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HEY THERE!!!
Question;-
Solve for x : 7x-6/3 + 4 = x-1/2
Method of Solution;-
![\frac{7x - 6}{3} + \frac{4}{1} = \frac{x - 1}{2} \\ \\ \\ \frac{7x - 6 + 12}{3} = \frac{x - 1}{2} \\ \\ \frac{7x + 6}{3} = \frac{x - 1}{2} \\ \\ 2(7x + 6) = 3(x - 1) \\ \\ 14x + 12 = 3x - 3 \\ \\ 14x - 3x = - 3 - 12 \\ \\ 11x = - 15 \\ \\ x = \frac{ - 15}{11} \frac{7x - 6}{3} + \frac{4}{1} = \frac{x - 1}{2} \\ \\ \\ \frac{7x - 6 + 12}{3} = \frac{x - 1}{2} \\ \\ \frac{7x + 6}{3} = \frac{x - 1}{2} \\ \\ 2(7x + 6) = 3(x - 1) \\ \\ 14x + 12 = 3x - 3 \\ \\ 14x - 3x = - 3 - 12 \\ \\ 11x = - 15 \\ \\ x = \frac{ - 15}{11}](https://tex.z-dn.net/?f=+%5Cfrac%7B7x+-+6%7D%7B3%7D++%2B++%5Cfrac%7B4%7D%7B1%7D++%3D++%5Cfrac%7Bx+-+1%7D%7B2%7D++%5C%5C++%5C%5C++%5C%5C++%5Cfrac%7B7x+-+6+%2B+12%7D%7B3%7D++%3D++%5Cfrac%7Bx+-+1%7D%7B2%7D++%5C%5C++%5C%5C++%5Cfrac%7B7x+%2B+6%7D%7B3%7D++%3D++%5Cfrac%7Bx+-+1%7D%7B2%7D++%5C%5C++%5C%5C+2%287x+%2B+6%29+%3D+3%28x+-+1%29+%5C%5C++%5C%5C+14x+%2B+12+%3D+3x+-+3+%5C%5C++%5C%5C+14x+-+3x+%3D++-+3+-+12+%5C%5C++%5C%5C+11x+%3D++-+15+%5C%5C++%5C%5C+x+%3D++%5Cfrac%7B+-+15%7D%7B11%7D+)
Hence, Value of x = -15/11
Question;-
Solve for x : 7x-6/3 + 4 = x-1/2
Method of Solution;-
Hence, Value of x = -15/11
Answered by
7
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