Subjects algebra

Linear Equation Cdbd8C

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Linear Equation Cdbd8C


1. The problem is to solve the linear equation $4x - 5y = 20$ for one variable or to find another similar equation. 2. The general form of a linear equation in two variables is $Ax + By = C$, where $A$, $B$, and $C$ are constants. 3. To create another similar equation, we can multiply the entire equation by a nonzero constant. For example, multiply both sides by 2: $$2(4x - 5y) = 2(20)$$ which simplifies to $$8x - 10y = 40$$ 4. This new equation $8x - 10y = 40$ is equivalent to the original and can be used as another example. 5. Alternatively, you can solve for $y$ in terms of $x$: $$4x - 5y = 20$$ $$-5y = 20 - 4x$$ $$y = \frac{4x - 20}{5}$$ This expresses $y$ as a function of $x$. 6. If you want a completely different equation, you can choose different coefficients, for example: $$3x + 2y = 12$$ which is another linear equation in two variables. Let me know if you want me to solve or graph any of these.