Question

Check whether the ordered pair is a solution of the system of linear equations. Please help!

Answer 1

You have this ordered pair:

`(-2,-5)`

You can identify that its coordinates are:

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

Given the first equation:

`3x-2y=4`

Substitute the value of "x" and the value of "y" into the equation and then evaluate (If the ordered pair is a solution of the System of linear equations, the value on the right side of the equation and the value on the left side must be equal):

`\begin{gathered} 3(-2)-2(-5)=4 \\ -6+10=4 \\ 4=4(True) \end{gathered}`

Apply the same procedure in the second equation. Then:

`\begin{gathered} 6x-2y=-2 \\ 6(-2)-2(-5)=-2 \\ -12+10=-2 \\ -2=-2(True) \end{gathered}`

The answer is: The ordered pair is the solution of the System of linear equations.