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.