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Someone please help please I really need this

Someone please help please I really need this-example-1

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x = (1)/(4)x+(3)/(4)\ \ \ \ |-(1)/(4)x\\\\(3)/(4)x=(3)/(4)\ \ \ \text{ONE SOLUTION}\\\\(1)/(2)(1+4x)=2x-3\\\\(1)/(2)+2x=2x-3\ \ \ \ |-2x\\\\(1)/(2)=-3\ \ \ \ \text{NO SOLUTION}\\\\(1)/(3)x-5=(2)/(3)x-5\ \ \ \ |-(2)/(3)x\\\\-(1)/(3)x-5=-5\ \ \ \ \ \text{ONE SOLUTION}\\\\3-4x=-6\left((2)/(3)x-(1)/(2)\right)\\\\3-4x=-4x+3\ \ \ \ |+4x\\\\3=3\ \ \ \ \ \text{INFINITELY MANY SOLUTIONS}

User Rick Royd Aban
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