if x= a, and y=b, is the solution of equation x-y=2 and x+y=4, then find the values of a and b, respectively​

Respuesta :

Answer:

a=3, b=1

Step-by-step explanation:

[tex]\left \{ {{x-y=2} \atop {x+y=4}} \right. \\\left \{ {{(4-y)-y=2} \atop {x=4-y}} \right. \\\left \{ {{-2y=2-4} \atop {x=4-y}} \right. \\\left \{ {{y=1} \atop {x=4-1}} \right. \\\left \{ {{y=1} \atop {x=3}} \right.[/tex]

Answer:

x = 3, y = 1

Step-by-step explanation:

x + y = 4 ----1

x - y = 2 ----2

From 2:

x = 2 + y ----3

Sub 3 into 1 :

(2 + y) + y = 4

2y =2

y =1 ----4

Sub y = 1 into 3

x = 2 + 1

x = 3