Subjects algebra

Solve Linear Mult

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Solve Linear Mult


1. Given the equation $2x - 20y + xy - 190 = 0$, we want to analyze or simplify it. 2. Group the terms involving $x$ and $y$: $$xy + 2x - 20y - 190 = 0$$ 3. Factor by grouping: $$x(y + 2) - 10(2y + 19) = 0$$ 4. Notice that $y + 2$ and $2y + 19$ are different expressions, so no common factor immediately. 5. We could try to isolate $y$: $$xy - 20y = 190 - 2x$$ $$y(x - 20) = 190 - 2x$$ $$y = \frac{190 - 2x}{x - 20}$$ 6. This expresses $y$ in terms of $x$, useful for graphing or analyzing the relationship. Final answer: $$y = \frac{190 - 2x}{x - 20}$$