To solve the equation \( 2x + 3y = 21 \), you have two variables (\(x\) and \(y\)). Here’s what you can do:

### 1. Express one variable in terms of the other:
If you want to express \(y\) in terms of \(x\) (or vice versa), you can solve for one variable.

For example, solve for \(y\):

\[
3y = 21 - 2x
\]

Then divide by 3:

\[
y = \frac{21 - 2x}{3}
\]

This gives you \(y\) in terms of \(x\).

### 2. Consider possible values for \(x\) and solve for \(y\):
You can also plug in different values of \(x\) to find corresponding values of \(y\). For instance:

- If \(x = 0\), then \(y = \frac{21 - 2(0)}{3} = 7\).
- If \(x = 3\), then \(y = \frac{21 - 2(3)}{3} = 5\).
- If \(x = 6\), then \(y = \frac{21 - 2(6)}{3} = 3\).

### 3. Graphical Representation:
You could also represent this equation graphically as a straight line. Each point on the line would represent a pair \((x, y)\) that satisfies the equation.

Would you like further details on solving or graphing this equation? Here are 5 related questions:

1. How would you solve for \(x\) in terms of \(y\) in the equation \(2x + 3y = 21\)?
2. What would the graph of this equation look like?
3. How do you find the intercepts of the equation \(2x + 3y = 21\)?
4. Can you solve the system of equations if you have another equation, such as \(x + y = 7\)?
5. How would you check if a given pair \((x, y)\) is a solution to the equation?

**Tip**: When dealing with two variables, try isolating one variable to simplify the equation or consider using a system of equations for a more complete solution.

Learn how to solve the linear equation 2x + 3y = 21 with a step-by-step solution. Understand how to express one variable in terms of the other, find specific values for x and corresponding y, and graph the equation. Suitable for students in Grades 7-9 studying algebra.

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