What is the answer to solvefor x,2x+15=3(x+3y)y ?

The answer to solvefor x,2x+15=3(x+3y)y is x=(9y^2-15)/(2-3y);\quad y\ne 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,2x+15=3(x+3y)y

solve for

x, 2 x + 15 = 3 (x + 3 y) y

x = \frac{9 y ^{2} - 15}{2 - 3 y}; y \neq = \frac{2}{3}

Solution steps

2 x + 15 = 3 (x + 3 y) y

Expand

3 (x + 3 y) y : 3 x y + 9 y^{2}

2 x + 15 = 3 x y + 9 y^{2}

Move

15

to the right side

2 x = 3 x y + 9 y^{2} - 15

Move

3 x y

to the left side

2 x - 3 x y = 9 y^{2} - 15

Factor

2 x - 3 x y : x (2 - 3 y)

x (2 - 3 y) = 9 y^{2} - 15

Divide both sides by

2 - 3 y; y \neq = \frac{2}{3}

x = \frac{9 y ^{2} - 15}{2 - 3 y}; y \neq = \frac{2}{3}

x, y + \frac{3}{2} x = \frac{6}{5} y + \frac{6}{5} x

y, (d - 2)^{2} (d^{2} + 9) y = 0

x, f = - 2 x + 4 m + 5

4 e x - 1 = 32

7 x - 15 = 3 x + 13

What is the answer to solvefor x,2x+15=3(x+3y)y ?
The answer to solvefor x,2x+15=3(x+3y)y is x=(9y^2-15)/(2-3y);\quad y\ne 2/3