Question

Is the point (3,-2) a solution to the system of equations?

Answer 1

Step-by-step explanation:

What we have to do is to make a substitution of the coordinates into the two given equations

If we have a match with the values on the right sides of the equality signs of both equations, then the point is a solution to the system

Thus, we substitute x = 3 and y = -2

We have:

`\begin{gathered} 3(3)\text{ +4(-2) = 9-8 = 1} \\ 2(3)-5(-2)\text{ = 6+10 = 16} \end{gathered}`

Now, as we can see, the point worked for the first equation but did not work for the second

Ultimately, what that means is that the point is not a solution to the system of equations