The system of equation:
y =-x-6
y=x+8
Substitution Method: Simplify first expression for y and substitute the value of y in the second equation and then solve for x, the resulting value of x is thesolution of the equations for x axis, and put this value of x in the first equation and solve for y
In the given system
Substitute : y = x+8 in the first eqaution
[tex]\begin{gathered} y\text{ = -x-6} \\ x+8=-x-6 \\ 2x=-8-6 \\ 2x=-14 \\ x=-7 \end{gathered}[/tex]Substitute the x = -7 in the second equation and solve for y:
[tex]\begin{gathered} y=x+8 \\ y=-7+8 \\ y=1 \end{gathered}[/tex]Thus, we get x = -7, y = 1
Answer: (x,y) = (-7, 1)
