Which ordered pairs are a solution of the equation: y = –3x – 2? (Circle all of the correct ordered pairs [more than one pair may be correct])
(0, –2)
(1, 5)
(5, –35)
(–3, 7)
(0, -2)
To check which ordered pairs are a solution of the equation y = –3x – 2, substitute the x and y values into the equation and see if it holds true.
For (0, -2):
When x = 0, y = -3(0) - 2 = -2, which matches the given y value (-2).
Therefore, (0, -2) is a solution.
For (1, 5):
When x = 1, y = -3(1) - 2 = -3 - 2 = -5.
However, the given y value is 5, so (1, 5) is not a solution.
For (5, -35):
When x = 5, y = -3(5) - 2 = -15 - 2 = -17.
However, the given y value is -35, so (5, -35) is not a solution.
For (-3, 7):
When x = -3, y = -3(-3) - 2 = 9 - 2 = 7.
The given y value is 7, so (3, 7) is a solution.
Therefore, the correct ordered pairs that are solutions of the equation are (0, -2) and (-3, 7).
To determine which ordered pairs are solutions of the equation y = -3x - 2, we can substitute the x-value and y-value of each ordered pair into the equation and check if the equation holds true.
1. For the ordered pair (0, -2):
- Substituting x = 0 and y = -2 into the equation: -2 = -3(0) - 2
- Simplifying the equation: -2 = -2
- The equation holds true, so (0, -2) is a solution.
2. For the ordered pair (1, 5):
- Substituting x = 1 and y = 5 into the equation: 5 = -3(1) - 2
- Simplifying the equation: 5 = -5 - 2
- Simplifying further: 5 = -7
- The equation does not hold true, so (1, 5) is not a solution.
3. For the ordered pair (5, -35):
- Substituting x = 5 and y = -35 into the equation: -35 = -3(5) - 2
- Simplifying the equation: -35 = -15 - 2
- Simplifying further: -35 = -17
- The equation does not hold true, so (5, -35) is not a solution.
4. For the ordered pair (-3, 7):
- Substituting x = -3 and y = 7 into the equation: 7 = -3(-3) - 2
- Simplifying the equation: 7 = 9 - 2
- Simplifying further: 7 = 7
- The equation holds true, so (-3, 7) is a solution.
Therefore, the correct ordered pairs that are solutions of the equation y = -3x - 2 are:
- (0, -2)
- (-3, 7)