Respuesta :

given the system of equations:

[tex]\begin{gathered} y=x+4\rightarrow(1) \\ x+y=2\rightarrow(2) \end{gathered}[/tex]

substitute with y from equation (1) into equation (2) to find x:

[tex]\begin{gathered} x+(x+4)=2 \\ x+x+4=2 \\ 2x=2-4 \\ 2x=-2 \\ x=-\frac{2}{2}=-1 \end{gathered}[/tex]

substitute with x into equation (1) to find y

[tex]y=-1+4=3[/tex]

so, ordered pair which is the solution to this system of equations = (-1, 3)