Which of the following systems of equations has the solution (1, 6)?
y = –5x – 1
y = –x + 7
y = 5x + 1
y = x – 7
y = 5x + 1
y = –x – 7
y = 5x + 1
y = –x + 7
To find which system of equations has the solution (1, 6), we need to substitute the x-coordinate (1) and the y-coordinate (6) into each equation and see which system satisfies both equations.
For the first system:
y = –5x – 1
6 = –5(1) – 1
6 = -5 - 1
6 = -6 (not correct)
For the second system:
y = 5x + 1
6 = 5(1) + 1
6 = 5 + 1
6 = 6 (correct)
For the third system:
y = 5x + 1
6 = 5(1) + 1
6 = 5 + 1
6 = 6 (correct)
For the fourth system:
y = 5x + 1
6 = 5(1) + 1
6 = 5 + 1
6 = 6 (correct)
Therefore, the systems of equations that has the solution (1, 6) are:
y = 5x + 1
y = –x + 7