Which of the ordered pairs (-3,1), (2,0), (-8,-2),(-28,6) are solutions for the equation x+5y=2?
I found the slope which is -1/5 and I think that the anwser is coordinates
(-3,1) and (2,0). Could you tell me if I'm on the right track?
Just plug in the x,y pairs into the equation and see if you get 2. It won't work for one of the points.
To determine if an ordered pair is a solution for the equation x + 5y = 2, you need to substitute the x and y values into the equation and check if the equation is satisfied.
Let's go through each ordered pair one by one:
1) (-3,1)
Substituting x = -3 and y = 1 into the equation:
-3 + 5(1) = 2
-3 + 5 = 2
2 = 2
The equation is true for x = -3 and y = 1, so (-3,1) is a solution.
2) (2,0)
Substituting x = 2 and y = 0 into the equation:
2 + 5(0) = 2
2 + 0 = 2
2 = 2
The equation is true for x = 2 and y = 0, so (2,0) is a solution.
3) (-8,-2)
Substituting x = -8 and y = -2 into the equation:
-8 + 5(-2) = 2
-8 - 10 = 2
-18 = 2
The equation is not true for x = -8 and y = -2, so (-8,-2) is not a solution.
4) (-28,6)
Substituting x = -28 and y = 6 into the equation:
-28 + 5(6) = 2
-28 + 30 = 2
2 = 2
The equation is true for x = -28 and y = 6, so (-28,6) is a solution.
Therefore, the solutions for the equation x + 5y = 2 are (-3,1), (2,0), and (-28,6). You are correct that (-3,1) and (2,0) are solutions. Good job!