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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