What is the answer to sqrt(y)+2=-(5y-90)/9 ?

The answer to sqrt(y)+2=-(5y-90)/9 is y=9

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sqrt(y)+2=-(5y-90)/9

y + 2 = - \frac{5 y - 90}{9}

y = 9

Solution steps

y + 2 = - \frac{5 y - 90}{9}

Multiply both sides by

9

y \cdot 9 + 2 \cdot 9 = - \frac{5 y - 90}{9} \cdot 9

Simplify

9 y + 18 = - (5 y - 90)

Expand

- (5 y - 90) : - 5 y + 90

9 y + 18 = - 5 y + 90

Remove square roots

81 y = 25 y^{2} - 720 y + 5184

Solve

81 y = 25 y^{2} - 720 y + 5184 : y = \frac{576}{25}, y = 9

y = \frac{576}{25}, y = 9

Verify Solutions:

y = \frac{576}{25}

False

, y = 9

True

The solution is

y = 9

81 - t^{2} = 0

5 = 4 x - 7

3 w - 20 - 5 w = 2

3 x^{2} - 4 x + 1 = x + 1

\frac{5 x - 3}{2 x - 1} = 5

What is the answer to sqrt(y)+2=-(5y-90)/9 ?
The answer to sqrt(y)+2=-(5y-90)/9 is y=9
Solve for y: sqrt(y)+2=-(5y-90)/9
The solution is y=9