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)
The ordered pairs that are solutions of the equation y = –3x – 2 are:
(0, –2)
(1, 5)
(-3, 7)
To find out which ordered pairs satisfy the equation y = -3x - 2, substitute the values of x and y in the equation and check if they satisfy the equation.
Let's go through each of the given ordered pairs and check if they satisfy the equation:
1. (0, -2):
Substituting x = 0 and y = -2 in the equation:
-2 = -3(0) - 2
-2 = 0 - 2
-2 = -2
This ordered pair satisfies the equation.
2. (1, 5):
Substituting x = 1 and y = 5 in the equation:
5 = -3(1) - 2
5 = -3 - 2
5 = -5
This ordered pair does not satisfy the equation.
3. (5, -35):
Substituting x = 5 and y = -35 in the equation:
-35 = -3(5) - 2
-35 = -15 - 2
-35 = -17
This ordered pair does not satisfy the equation.
4. (-3, 7):
Substituting x = -3 and y = 7 in the equation:
7 = -3(-3) - 2
7 = 9 - 2
7 = 7
This ordered pair satisfies the equation.
Therefore, the correct ordered pairs that satisfy the equation y = -3x - 2 are:
(0, -2) and (-3, 7).
To determine which ordered pairs are a solution of the equation y = -3x - 2, we need to substitute the x and y values of each ordered pair into the equation and see if the equation holds true.
Let's check each ordered pair:
1) (0, -2)
Substituting x = 0 and y = -2 into the equation:
-2 = -3(0) - 2
-2 = -2
The equation holds true for this ordered pair.
2) (1, 5)
Substituting x = 1 and y = 5 into the equation:
5 = -3(1) - 2
5 = -3 - 2
5 = -5
The equation does not hold true for this ordered pair.
3) (5, -35)
Substituting x = 5 and y = -35 into the equation:
-35 = -3(5) - 2
-35 = -15 - 2
-35 = -17
The equation does not hold true for this ordered pair.
4) (-3, 7)
Substituting x = -3 and y = 7 into the equation:
7 = -3(-3) - 2
7 = 9 - 2
7 = 7
The equation holds true for this ordered pair.
Therefore, the correct ordered pairs that are a solution of the equation y = -3x - 2 are (0, -2) and (-3, 7).