To solve the equation \( 3x + 4y = 20 \) for either \( x \) or \( y \), we need more information, such as a specific value for one of the variables. However, we can express one variable in terms of the other. Let's solve for \( y \) in terms of \( x \):

Starting with the given equation:
\[ 3x + 4y = 20 \]

1. Isolate \( 4y \) by subtracting \( 3x \) from both sides:
\[ 4y = 20 - 3x \]

2. Divide both sides by 4 to solve for \( y \):
\[ y = \frac{20 - 3x}{4} \]

Thus, the solution in terms of \( y \) is:
\[ y = 5 - \frac{3x}{4} \]

Alternatively, we can solve for \( x \) in terms of \( y \):

1. Isolate \( 3x \) by subtracting \( 4y \) from both sides:
\[ 3x = 20 - 4y \]

2. Divide both sides by 3 to solve for \( x \):
\[ x = \frac{20 - 4y}{3} \]

Thus, the solution in terms of \( x \) is:
\[ x = \frac{20 - 4y}{3} \]

Would you like more details or have any questions?

### Related Questions:
1. What are the solutions for \( x \) and \( y \) if \( x = 2 \)?
2. What are the solutions for \( x \) and \( y \) if \( y = 3 \)?
3. How do you graph the equation \( 3x + 4y = 20 \)?
4. What is the slope of the line represented by \( 3x + 4y = 20 \)?
5. How can you convert \( 3x + 4y = 20 \) to slope-intercept form?
6. What is the x-intercept of the line \( 3x + 4y = 20 \)?
7. What is the y-intercept of the line \( 3x + 4y = 20 \)?
8. How would you solve \( 3x + 4y = 20 \) using matrix methods?

### Tip:
When working with linear equations, isolating one variable can help in solving or graphing the equation more easily.

Learn how to solve the linear equation 3x + 4y = 20 for variables x and y with detailed step-by-step solutions. This problem involves fundamental algebraic concepts, including isolating variables and linear equation manipulation. Suitable for students in Grades 7-9.

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