To determine which system of equations the point (5, -3) is a solution to, we can substitute the x and y values of the point into each equation and see which ones are satisfied.
1) y = x^2 + 6
Substituting x = 5 and y = -3:
-3 = 5^2 + 6
-3 = 25 + 6
This equation is not satisfied by the point (5, -3).
2) 3y + 6x = y
Substituting x = 5 and y = -3:
3(-3) + 6(5) = -3
-9 + 30 = -3
This equation is satisfied by the point (5, -3).
3) y = x + 2
Substituting x = 5 and y = -3:
-3 = 5 + 2
-3 = 7
This equation is not satisfied by the point (5, -3).
4) y = x + 5
Substituting x = 5 and y = -3:
-3 = 5 + 5
-3 = 10
This equation is not satisfied by the point (5, -3).
5) 180y = x - 8
Substituting x = 5 and y = -3:
180(-3) = 5 - 8
-540 = -3
This equation is not satisfied by the point (5, -3).
6) 2x + y = 7
Substituting x = 5 and y = -3:
2(5) + (-3) = 7
10 - 3 = 7
This equation is satisfied by the point (5, -3).
7) y = -0.5x + 6
Substituting x = 5 and y = -3:
-3 = -0.5(5) + 6
-3 = -2.5 + 6
This equation is satisfied by the point (5, -3).
8) y = 3x - 1
Substituting x = 5 and y = -3:
-3 = 3(5) - 1
-3 = 15 - 1
This equation is not satisfied by the point (5, -3).
Based on the results above, the point (5, -3) is a solution to the systems of equations 2) 3y + 6x = y and 7) y = -0.5x + 6.
Bot help please
The point (5, -3) is a solution to which system of equations? (1 point) y = ² x + 6 3y + 6x y = x + 2 y = x + 5 0 180 y=x-8 2x + y = 7 y = − ½ x + 6 y = 3x - 1
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