Question

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)

Answer 1

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)