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.