Question

Solve the following system of equations , and find the ordered pair. X =-y-6 and -7x +6y=-10

Answer 1

Given:

There are given the equation:

$\begin{gathered} x=-y-6...(1) \\ -7x+6y=-10...(2) \end{gathered}$

Explanation:

From the equation (1):

Put the value of x into the equation (2):

So,

From the equation (2):

$\begin{gathered} \begin{equation*} -7x+6y=-10 \end{equation*} \\ -7(-y-6)+6y=-10 \\ 7y+42+6y=-10 \\ 13y=-10-42 \\ 13y=-52 \\ y=-4 \end{gathered}$

Now,

Put the value of y into the equation (1):

So,

From the first equation:

$\begin{gathered} \begin{equation*} x=-y-6 \end{equation*} \\ x=-(-4)-6 \\ x=4-6 \\ x=-2 \end{gathered}$

Final answer:

Hence, the ordered pair of the solution is shown below:

$(-2,-4)$