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Question: Solve the system by substitution: 3x + 3y = 9, 4x = - 4y + 8


A ) No solution
B ) (3, 9)
C ) (2, 0)
D ) (2, 1)

Steps to derive

1 4x = - 4y + 8
 [Second equation.]

2 x = - y + 2
 [Divide by 4 from each side.]

3 3x + 3y = 9
 [First equation.]

4 3(-y + 2) + 3y = 9
 [Substitute x in the first equation.]

5 -3y + 6 + 3y = 9

6 6 = 9
 [Contradiction.]

7 So, the system has no solution.



Hence the right answer is Option A

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