This is the graph of the equation
-3x+y=3.
Which ordered pairs are solutions to the equation? Select all that apply.
(6, -2) (0, -3) (1,6) (-1,0) (-2,-3) (-3, -6)
To determine which ordered pairs are solutions to the equation -3x+y=3, we substitute the x and y values from each ordered pair into the equation and see if the equality holds true.
1. (6, -2):
-3(6) + (-2) = 3
-18 - 2 = 3
-20 ≠ 3
(6, -2) is not a solution.
2. (0, -3):
-3(0) + (-3) = 3
0 - 3 = 3
-3 ≠ 3
(0, -3) is not a solution.
3. (1, 6):
-3(1) + 6 = 3
-3 + 6 = 3
3 = 3
(1, 6) is a solution.
4. (-1, 0):
-3(-1) + 0 = 3
3 = 3
(-1, 0) is a solution.
5. (-2, -3):
-3(-2) + (-3) = 3
6 - 3 = 3
3 = 3
(-2, -3) is a solution.
6. (-3, -6):
-3(-3) + (-6) = 3
9 - 6 = 3
3 = 3
(-3, -6) is a solution.
Therefore, the ordered pairs that are solutions to the equation -3x+y=3 are:
(1,6), (-1,0), (-2,-3), (-3,-6).