Which ordered pair (x,y) is the solution to the given system of linear equation?
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Answer:
(x, y) = (-1, 4)
Step-by-step explanation:
3x + 3y = -3 (1)
-2x + y = 2 (2)
From (2)
y = 2 + 2x
Substitute y = 2 + 2x into (1)
3x + 3y = -3 (1)
3x + 3(2 + 2x) = -3
3x + 6 + 6x = -3
9x + 6 = -3
9x = -3 - 6
9x = -9
x = -9/9
x = -1
Substitute x = -1 into (2)
-2x + y = 2 (2)
-2(-1) + y = 2
-2 + y = 2
y = 2 + 2
y = 4
(x, y) = (-1, 4)