For each ordered pair, determine whether it is a solution to the system of equations. 3x +2y= -6 4x-7y=-8 Is it a solution? (x, y) Yes No (5, 4) (-8, 9) (-2, 0) (6,-3)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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### Identifying Solutions to a System of Linear Equations

For each **ordered pair**, determine whether it is a solution to the **system of equations**.

\[
\begin{cases}
    3x + 2y = -6 \\
    4x - 7y = -8
\end{cases}
\]

#### Is it a solution?

| (x, y)  | Yes | No  |
|---------|-----|-----|
| (5, 4)  | ○   | ○   |
| (-8, 9) | ○   | ○   |
| (-2, 0) | ○   | ○   |
| (6, -3) | ○   | ○   |

On the side of the table, there are three icons:
- A check mark inside a circle to presumably check the solution.
- An "X" mark inside a circle to reset the selection.
- Another icon that seems to be a question mark, suggesting help or additional information.

Visitors are instructed to verify these pairs by substituting \(x\) and \(y\) values into both equations to see if both are satisfied.
Transcribed Image Text:### Identifying Solutions to a System of Linear Equations For each **ordered pair**, determine whether it is a solution to the **system of equations**. \[ \begin{cases} 3x + 2y = -6 \\ 4x - 7y = -8 \end{cases} \] #### Is it a solution? | (x, y) | Yes | No | |---------|-----|-----| | (5, 4) | ○ | ○ | | (-8, 9) | ○ | ○ | | (-2, 0) | ○ | ○ | | (6, -3) | ○ | ○ | On the side of the table, there are three icons: - A check mark inside a circle to presumably check the solution. - An "X" mark inside a circle to reset the selection. - Another icon that seems to be a question mark, suggesting help or additional information. Visitors are instructed to verify these pairs by substituting \(x\) and \(y\) values into both equations to see if both are satisfied.
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