Question

find the solution of this system of equations-6x-y=29-2x+y=19

Answer 1

Let's write the 2 equations:

$\begin{gathered} -6x-y=29 \\ -2x+y=19​ \\ -------- \end{gathered}$

We can add to eliminate "y" and solve for x first. Shown below:

$\begin{gathered} -6x-y=29 \\ -2x+y=19 \\ --------- \\ -8x=48 \\ x=\frac{48}{-8} \\ x=-6 \end{gathered}$

Now, we can plug this value of x into the first equation and solve for y. Shown below:

$\begin{gathered} -6x-y=29 \\ -6(-6)-y=29 \\ 36-y=29 \\ y=36-29 \\ y=7 \end{gathered}$

The solution of the system:

x = - 6

y = 7