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Question: Solve the system by substitution:
10x + 10y = 100
12x = - 12y + 108


A ) (100, 0)
B ) No solution
C ) (100, 10)
D ) {(x, y): 10x + 10y = 100}

Steps to derive

1 12x = - 12y + 108
 [Second equation.]

2 x = - y + 9
 [Divide throughout by 12 .]

3 10x + 10y = 100
 [First equation.]

4 10( - y + 9) + 10y = 100
 [Substitute the values.]

5 - 10y + 90 + 10y = 100

6 90 = 100
 [This is a contradiction.]

7 So, there is no solution and the system is inconsistent.



Hence the right answer is Option B

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