# Solve 2-9Z / 17-4Z = 4/5

Given: $(\frac{2 – 9z}{17 – 4z}) = (\frac{4}{5})$

5 (2 – 9z) = 4 (17 – 4z)

= 10 – 45z = 68 – 16z

= 10 – 68 = 16z + 45z

= -58 = 29z

= z = -58/29

= z = -2

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