What is the answer to sqrt(3x-1)=(3x+3)/5 ?

The answer to sqrt(3x-1)=(3x+3)/5 is x= 17/3 ,x= 2/3

Solve for x: sqrt(3x-1)=(3x+3)/5

The solution is x= 17/3 ,x= 2/3

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3 x - 1 = \frac{3 x + 3}{5}

x = \frac{17}{3}, x = \frac{2}{3}

Decimal Notation

x = 5.66666 \dots, x = 0.66666 \dots

Solution steps

3 x - 1 = \frac{3 x + 3}{5}

Multiply both sides by

5

3 x - 1 \cdot 5 = \frac{3 x + 3}{5} \cdot 5

Simplify

3 x - 1 \cdot 5 = 3 x + 3

Square both sides:

75 x - 25 = 9 x^{2} + 18 x + 9

75 x - 25 = 9 x^{2} + 18 x + 9

Solve

75 x - 25 = 9 x^{2} + 18 x + 9 : x = \frac{17}{3}, x = \frac{2}{3}

x = \frac{17}{3}, x = \frac{2}{3}

Verify Solutions:

x = \frac{17}{3}

True

, x = \frac{2}{3}

True

The solutions are

x = \frac{17}{3}, x = \frac{2}{3}

x + 12 - x - 15 = 3

x + 1 = x + 6 - 1

(x^{2} - 25) 4 - x = 0

x - 16 = 6

x + 6 + x = 8

What is the answer to sqrt(3x-1)=(3x+3)/5 ?
The answer to sqrt(3x-1)=(3x+3)/5 is x= 17/3 ,x= 2/3
Solve for x: sqrt(3x-1)=(3x+3)/5
The solution is x= 17/3 ,x= 2/3