What is the answer to solvefor z,w=((4z-5))/((2-z)) ?

The answer to solvefor z,w=((4z-5))/((2-z)) is z=-(-5-2w)/(4+w);\quad w\ne-4

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solvefor z,w=((4z-5))/((2-z))

solve for

z, w = \frac{( 4 z - 5 )}{( 2 - z )}

z = - \frac{- 5 - 2 w}{4 + w}; w \neq = - 4

Solution steps

w = \frac{( 4 z - 5 )}{( 2 - z )}

Simplify

\frac{( 4 z - 5 )}{( 2 - z )} : \frac{4 z - 5}{2 - z}

w = \frac{4 z - 5}{2 - z}

Multiply both sides by

2 - z

w (2 - z) = 4 z - 5

Expand

w (2 - z) : 2 w - z w

2 w - z w = 4 z - 5

Move

2 w

to the right side

- z w = 4 z - 5 - 2 w

Move

4 z

to the left side

- z w - 4 z = - 5 - 2 w

Factor

- z w - 4 z : - z (w + 4)

- z (w + 4) = - 5 - 2 w

Divide both sides by

- (w + 4); w \neq = - 4

z = - \frac{- 5 - 2 w}{4 + w}; w \neq = - 4

x, f x = \frac{ln ( 1 )}{x}

a, \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{37}{48}

\frac{1}{2 \cdot y ^{2}} = 7 y - 12

9 = \frac{v + 4}{v + 12}

x, g = x + f \frac{( x )}{x} \cdot 3

What is the answer to solvefor z,w=((4z-5))/((2-z)) ?
The answer to solvefor z,w=((4z-5))/((2-z)) is z=-(-5-2w)/(4+w);\quad w\ne-4