What is the answer to solvefor x,((2y+5x))/y =((3x))/2 ?

The answer to solvefor x,((2y+5x))/y =((3x))/2 is x=-(4y)/(10-3y);\quad y\ne 0,y\ne 10/3

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solvefor x,((2y+5x))/y =((3x))/2

solve for

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

x = - \frac{4 y}{10 - 3 y}; y \neq = 0, y \neq = \frac{10}{3}

Solution steps

\frac{( 2 y + 5 x )}{y} = \frac{( 3 x )}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(2 y + 5 x) \cdot 2 = y \cdot 3 x

Expand

(2 y + 5 x) \cdot 2 : 4 y + 10 x

4 y + 10 x = y \cdot 3 x; y \neq = 0

Move

4 y

to the right side

10 x = y \cdot 3 x - 4 y; y \neq = 0

Move

y 3 x

to the left side

10 x - y \cdot 3 x = - 4 y; y \neq = 0

Factor

10 x - y \cdot 3 x : x (10 - 3 y)

x (10 - 3 y) = - 4 y; y \neq = 0

Divide both sides by

10 - 3 y; y \neq = 0, y \neq = \frac{10}{3}

x = - \frac{4 y}{10 - 3 y}; y \neq = 0, y \neq = \frac{10}{3}

x, x \cdot y = x + y + 1

x + (k - 1) \cdot k - 2 (k + 1) = 0

x, \frac{( x + p )}{q} - 1 = \frac{( x - q )}{p} + 1

g, c = g + 11

x, (y - 5) = 6 (x + 3)

What is the answer to solvefor x,((2y+5x))/y =((3x))/2 ?
The answer to solvefor x,((2y+5x))/y =((3x))/2 is x=-(4y)/(10-3y);\quad y\ne 0,y\ne 10/3