Question

4x+5y=20

Answer 1

The equation you've provided, \(4x + 5y = 20\), is a linear equation in two variables (x and y). There are several ways to work with this equation, such as solving for one variable in terms of the other, finding intercepts, or graphing the equation.

1. **Solving for y in terms of x**:
\[
5y = 20 - 4x
\]
\[
y = \frac{20 - 4x}{5}
\]
\[
y = 4 - \frac{4}{5}x
\]

2. **Finding the x-intercept (where \(y = 0\))**:
\[
4x + 5(0) = 20 \implies 4x = 20 \implies x = 5
\]
So the x-intercept is \((5, 0)\).

3. **Finding the y-intercept (where \(x = 0\))**:
\[
4(0) + 5y = 20 \implies 5y = 20 \implies y = 4
\]
So the y-intercept is \((0, 4)\).

4. **Graphing**: To graph the equation, plot the intercepts \((5, 0)\) and \((0, 4)\) on a Cartesian plane, and draw a straight line through these points.

If you need any specific operation or further details regarding this equation, feel free to ask!