Question

Due May 3Attendance Question (5/03/21) Which ordered pair isthe solution to this system of equations? y=x+4 andX+y=2

Answer 1

given the system of equations:

$\begin{gathered} y=x+4\rightarrow(1) \\ x+y=2\rightarrow(2) \end{gathered}$

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

$\begin{gathered} x+(x+4)=2 \\ x+x+4=2 \\ 2x=2-4 \\ 2x=-2 \\ x=-\frac{2}{2}=-1 \end{gathered}$

substitute with x into equation (1) to find y

$y=-1+4=3$

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