Question

solve the system and it would be a big help if you could tell me what the best system to use would be. x+3y=8 2x-y=2

Answer 1

in this problem....I think substitution is the best
x + 3y = 8
x = 8 - 3y

now sub 8 - 3y in for x in the other equation
2x - y = 2
2(8 - 3y) - y = 2
16 - 6y - y = 2
16 - 7y = 2
-7y = 2 - 16
-7y = -14
y = -14/-7
y = 2

now sub 2 in for y in either of the original equations
x + 3y = 8
x + 3(2) = 8
x + 6 = 8
x = 8 - 6
x = 2

check...
2x - y = 2
2(2) - 2 = 2
4 - 2 = 2
2 = 2 (correct)

x = 2, y = 2 or (2,2)

any questions ?

Answer 2

wow no thanks a lot I think I got it now sorry I wans doing something
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Answer 3

no problem...glad to help :)