Math, asked by arpitanayak463, 6 months ago

Find the solution of the equation 1/3x + 4x/6 =1

Answers

Answered by kamalgvd
1

Answer:

x = 1

Step-by-step explanation:

1/3x + 4x/6 = 1

2×1 + 4x / 6x = 1

2+ 4x = 1×6x

2 + 4x = 6x

2 = 6x-4x

2 = 2x

2/2 = x

1 = x

x= 1

Answered by abhi178
1

The solutions of the equation are 1/2 and 1.

We have to find the solution of the equation,

\frac{1}{3x}+\frac{4x}{6}=1

Let's solve the question step by step.

\implies\frac{1}{3x}+\frac{4x}{6}=1\\\\\implies\frac{2}{6x}+\frac{4x^2}{6x}=1\\\\\implies\frac{(2+4x^2)}{6x}=1\\\\\implies2+4x^2=6x\\\\\implies2(1+2x^2)=2\times3x\\\\\implies2x^2-3x+1=0\\\\\implies2x^2-2x-x+1=0\\\\\implies2x(x-1)-1(x-1)=0\\\\\implies(2x-1)(x-1)=0\\\\\implies x=\frac{1}{2},1

Therefore the solutions of the equation are 1/2 and 1.

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