Answered

Use a graph and a table to solve the system. Check your answer.


{y−x=5

{3x+y=1


(4, -1)

(1, -4)

(-1, 4)

(-4, 1)

Verified Answer :

nobillionaireNobley

y - x = 5 . . . (1)
3x + y = 1 . . . (2)

From (1), y = 5 + x . . . (3)
Putting (3) into (2), gives
3x + 5 + x = 1
4x = 1 - 5 = -4
x = -4/4 = -1

From (3), y = 5 + (-1) = 5 - 1 = 4

Therefore, solution is (-1, 4)

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