Question

State whether the given ordered pair is a solution of the system(-1,4)4x+3y=8

Answer 1

Explanation:

4(-1) + 3(4) = 8

-4 + 12 = 8

8 = 8

It is a solution of the system.

Answer 2

To check if the ordered pair is a solution to the system of equation(s), we will need to substitute the values into the equation and then solve. If the equation returns a true statement, then the ordered pair is a solution.

The equation in the question is given to be:

`4x+3y=8`

The ordered pair to be checked is:

`(-1,4)`

Substituting into the equation:

`\begin{gathered} x=-1 \\ y=4 \end{gathered}`

we have the equation to be:

`\begin{gathered} 4(-1)+3(4)=8 \\ -4+12=8 \\ 8=8 \end{gathered}`

Since this is a true statement, the ordered pair is a solution to the equation.