What is the answer to solvefor y,x=(2y-5)/(6-7y) ?

The answer to solvefor y,x=(2y-5)/(6-7y) is y=-(-5-6x)/(2+7x);\quad x\ne-2/7

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solvefor y,x=(2y-5)/(6-7y)

solve for

y, x = \frac{2 y - 5}{6 - 7 y}

y = - \frac{- 5 - 6 x}{2 + 7 x}; x \neq = - \frac{2}{7}

Solution steps

x = \frac{2 y - 5}{6 - 7 y}

Multiply both sides by

6 - 7 y

x (6 - 7 y) = 2 y - 5

Expand

x (6 - 7 y) : 6 x - 7 y x

6 x - 7 y x = 2 y - 5

Move

6 x

to the right side

- 7 y x = 2 y - 5 - 6 x

Move

2 y

to the left side

- 7 y x - 2 y = - 5 - 6 x

Factor

- 7 y x - 2 y : - y (7 x + 2)

- y (7 x + 2) = - 5 - 6 x

Divide both sides by

- (7 x + 2); x \neq = - \frac{2}{7}

y = - \frac{- 5 - 6 x}{2 + 7 x}; x \neq = - \frac{2}{7}

\frac{3 x + 15}{x + 5} = 3

\frac{2}{3 ( 8 - \frac{1}{x} )} = 2

b, \frac{a}{b + 4} = 5

- \frac{6}{x} = 9

d, \frac{20}{- d} = - 15

What is the answer to solvefor y,x=(2y-5)/(6-7y) ?
The answer to solvefor y,x=(2y-5)/(6-7y) is y=-(-5-6x)/(2+7x);\quad x\ne-2/7