To find which ordered pair $(x, y)$ is a solution to the equation $2x + 3y = -7$, we substitute different values of $x$ and $y$ into the equation to see if the equation holds true.

Let's try a few examples:

1. Ordered pair: $(1, -3)$ $2(1) + 3(-3) = 2 - 9 = -7$ This pair is a solution because it satisfies the equation.

2. Ordered pair: $(0, -\frac{7}{3})$ $2(0) + 3\left(-\frac{7}{3}\right) = 0 - 7 = -7$ This pair is also a solution.

3. Ordered pair: $(2, 1)$ $2(2) + 3(1) = 4 + 3 = 7$ This pair is not a solution because the result is $7$, not $-7$.

4. Ordered pair: $(-2, 1)$ $2(-2) + 3(1) = -4 + 3 = -1$ This pair is not a solution because the result is $-1$, not $-7$.

5. Ordered pair: $(3, -\frac{13}{3})$ $2(3) + 3\left(-\frac{13}{3}\right) = 6 - 13 = -7$ This pair is a solution.

So, the ordered pairs $(1, -3)$, $(0, -\frac{7}{3})$, and $(3, -\frac{13}{3})$ are solutions to the equation.

Do you want more details, or do you have any questions?

Related Questions:

1. How do you find the solution of a system of linear equations?
2. What are the methods to solve linear equations?
3. How can you graph the equation $2x + 3y = -7$?
4. What is the significance of the slope and intercept in linear equations?
5. How do you determine if a point lies on the graph of a linear equation?

Tip:

When testing if an ordered pair is a solution to an equation, substitute the values of $x$ and $y$ directly into the equation to see if both sides are equal.