Answer:
(x,y)=(2,3)
Step-by-step explanation:
[tex]\left \{ {{y=-2+5} \atop {y=x+1}} \right.[/tex]
calculate the sum
[tex]\left \{ {{y=3} \atop {y=x+1}} \right.[/tex]
since both expressions 3 and x+1 are equal to y, set them equal to each other forming an equation in x
3=x+1
solve the equation for X
x=2
The possible solution of the system is the ordered pair (x,y)
(x,y)=(2,3)
Check if the given ordered pair is the solution of the system of equations
[tex]\left \{ {{3=-2+5} \atop {3=2+1}} \right.[/tex]
simplify the equalities
[tex]\left \{ {{3=3} \atop {3=3}} \right.[/tex]
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(2.3)
