Final answer:
To solve the given equations, substitute the second equation into the first equation and simplify. Cross-multiply to get a quadratic equation, and then solve using the quadratic formula or factoring.
Step-by-step explanation:
To solve the equation 2x - 1 = 3y, we can substitute the second equation, 5(2x - 1) y = 32, into the first equation. This gives us 2x - 1 = 3(32/(5(2x - 1))). Simplifying further, we get 2x - 1 = 192/(10x - 5). Cross-multiplying and simplifying, we have (10x - 5)(2x - 1) = 192. Expanding and rearranging the terms, we get 20x^2 - 10x - 4x + 2 - 192 = 0. Combining like terms, we have 20x^2 - 14x - 190 = 0. Finally, we can solve this quadratic equation using the quadratic formula or factoring.