Question: Solve the system by substitution: 2x + 2y = 4; 3x = - 3y + 9
A ) Infinite solutions
B ) No solution
C ) (2, 0)
D ) (1, 1)
Steps to derive
1 3x = -3y + 9
[Second equation.]
2 x = -y + 3
[Divide each side by 3.]
3 2x + 2y = 4
[First equation.]
4 2(-y + 3) + 2y = 4
[Substitute x in the first equation.]
5 -2y + 6 + 2y = 4
6 6 = 4
[Contradiction.]
7 So, the system has no solution.
Hence the right answer is Option B
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