Question

For the system determine whether the given ordered pair is a solution

Answer 1

We must verify if the ordered pair (x,y) = (3,7) is a solution of the following system of equations:

`\begin{gathered} y=-2x+13, \\ 7x-4y=-5. \end{gathered}`

To make the verification we must replace the values of x and y in both equations and see if the sides of both equations are equal. Doing this we have:

`\begin{gathered} 7\questeq-2\cdot3+13\rightarrow7=7\rightarrow OK! \\ 7\cdot3-4\cdot7\questeq-5\rightarrow-7\\e-5\rightarrow NO! \end{gathered}`

We see that the ordered pair satisfy the first equation, but not the second one, that's because we get different numbers at each side of the second equation after we replace the values of x and y. We conclude that the ordered pair is NOT a solution.

Answer

The ordered pair is NOT a solution.