Respuesta :
Given:
There are given the equation:
[tex]\begin{gathered} x=-y-6...(1) \\ -7x+6y=-10...(2) \end{gathered}[/tex]Explanation:
From the equation (1):
Put the value of x into the equation (2):
So,
From the equation (2):
[tex]\begin{gathered} \begin{equation*} -7x+6y=-10 \end{equation*} \\ -7(-y-6)+6y=-10 \\ 7y+42+6y=-10 \\ 13y=-10-42 \\ 13y=-52 \\ y=-4 \end{gathered}[/tex]Now,
Put the value of y into the equation (1):
So,
From the first equation:
[tex]\begin{gathered} \begin{equation*} x=-y-6 \end{equation*} \\ x=-(-4)-6 \\ x=4-6 \\ x=-2 \end{gathered}[/tex]Final answer:
Hence, the ordered pair of the solution is shown below:
[tex](-2,-4)[/tex]