Question

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

Answer 1

Given

We have the system of equations:

`\begin{gathered} 3x\text{ - 2y = -4} \\ 2x\text{ + 5y = -9} \end{gathered}`

The ordered pair that would be a solution to the given system of equations must satisfy both equations. There can only be one ordered pair and this can be obtained by solving the system of equations simultaneously

Using a graphing tool, the plot of the lines is shown below:

The point where the lines intercept is the solution to the system of equations.

Hence the ordered pair that is a solution is (-2, -1)

Answer:

(4,8) - No

(8, -5) - No

(0, 3) - No

(-2, -1) - Yes