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Question: Solve the system by substitution.
4x + y = 5
- 16x - 4y = - 20


A ) (20.3, -76.2)
B ) no solution
C ) infinite solutions
D ) (1, 1)

Steps to derive

1 4x + y = 5
 [First equation.]

2 y = 5 - 4x
 [Solve for y.]

3 - 16x - 4y = - 20
 [Second equation.]

4 - 16x - 4(5 - 4x) = - 20
 [Substitute the values.]

5 - 16x - 20 + 16x = - 20

6 0 = 0
 [Always true]

7 So, the number of solutions is infinite.

8 The solution is {(x, y): 4x + y = 5}.



Hence the right answer is Option C

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