Answer:
Option D
Explanation:
If (1, 6) is the only solution of the system of equations and one of system of equations is,
y = 2x + 4
Then solution of the system will satisfy both the equations.
Option A
y = 4x - 7
By satisfying this equation by (1, 6),
6 = 4(1) - 7
6 = -3
False.
Therefore, given equation is not the answer.
Option B
y = 2x + 8
By satisfying this equation by (1, 6),
6 = 2(1) + 8
6 = 10
False.
Therefore, given equation is not the answer.
Option C
y = -2(x + 2)
By satisfying this equation by (1, 6),
6 = -2(1 + 2)
6 = -6
False.
Therefore, given equation is not the answer.
Option D
y = 5x + 1
By satisfying this equation by (1, 6),
6 = 5(1) + 1
6 = 6
True.
Therefore, this is one of the equations of the system of equations.
Option D is the answer.