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

(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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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