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Solve, using the substitution method.


y – 2x = 8

16 + 4x = 2y

AThe solution is (24, 0).
BThe solution is (1, 10).
CThere is no solution.
DThere are an infinite number of solutions.

Verified Answer :

y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)

From (1), y = 2x + 8 . . . (3)

Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0

Therefore, there are infinite number of solutions.