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Question: Solve the system by substitution:
2x + 6y = 8
5x = - 15y + 25


A ) (3, 3)
B ) No solution
C ) Infinite solution
D ) (15, 0)

Steps to derive

1 5x = - 15y + 25
 [Second equation.]

2 x = - 3y + 5
 [Divide throughout by 5 .]

3 2x + 6y = 8
 [First equation.]

4 2(- 3y + 5) + 6y = 8
 [Substitute the values.]

5 - 6y + 10 + 6y = 8

6 10 = 8
 [Contradiction.]

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



Hence the right answer is Option B

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