Question

Which order pair satisfies 3x-y=8 and x+y=2

Answer 1

Answer:

(2.5, -1/2)

Step-by-step explanation:

Solve the system by substitution 3x-y=8 and x+y=2

lets look at x + y =2

rewrite it as x = 2 - y

so now x is 2- y so we can substitute it in

3(2-y) -y = 8 this is the equation rewritten with x as 2-y, now solve for y

6 -3y - y =8

-6             -6

     -4y  =  2

       /-4     /-4

        y   = -1/2

so now remember  x = 2 - y

use our new y

x = 2 - (-1/2)

x = 2 + 1/2

x = 2 and 1/5 or 2.5