solve the simultaneous equations y =x+2 and x + y = 3

Answer:  [tex]\bold{\bigg(\dfrac{1}{2},2\dfrac{1}{2}\bigg)}\qquad \implies \qquad \bold{\bigg(\dfrac{1}{2},\dfrac{5}{2}\bigg)}[/tex]Step-by-step explanation:y = x + 2       x + y = 3Solve using Substitution Method by replacing y with x + 2:                     x + (x + 2) = 3                          2x + 2 = 3                          2x       = 1                            x        = [tex]\dfrac{1}{2}[/tex]Next, replace x with 1/2 in one of the original equations and solve for y:y = x + 2   = [tex]\dfrac{1}{2}[/tex] + 2   = [tex]2\dfrac{1}{2}[/tex]