Question

Determine whether the given ordered pair is a solution to the system of equations. 5x−y =4x+4y =2Ordered pair: (4,0) Yes, it is a solution.No, it is not a solution.

Answer 1

We are given the system of equations

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

and we are given the ordered pair (4, 0)

We want to determine if the given pair is a solution of the equations

Solution

We only need to test the ordered pair (4, 0) on both equation

From the ordered pair we have

`\begin{gathered} x=4 \\ y=0 \end{gathered}`

We put the value of x and y in the first equation

`\begin{gathered} 5x-y=4 \\ We\text{ now try it now} \\ 5x-y=5(4)-0=20-0=20\\e4 \end{gathered}`

Thus, the ordered pair is not a solution of the first equation

Now, we put x and y in the second equation

`\begin{gathered} x+4y=2 \\ we\text{ now put the values of the ordered pair} \\ x+4y=4+4(0)=4+0=4\\e2 \end{gathered}`

Thus, the ordered pair is not a solution of the second equation

Hence, the ordered pair is not a solution

No, it is not a solution.