To determine which system the point (0,-2) is a solution to, substitute the x and y values of the point into each system and see if the equations are satisfied:
1) x + y = 2:
Substituting x = 0 and y = -2 into the equation:
0 + (-2) = -2
The equation is satisfied.
2) -x + 2y = 16:
Substituting x = 0 and y = -2 into the equation:
-(0) + 2(-2) = -4
The equation is not satisfied.
3) -4x + y = 6:
Substituting x = 0 and y = -2 into the equation:
-4(0) + (-2) = -2
The equation is not satisfied.
4) -5x - y = 21:
Substituting x = 0 and y = -2 into the equation:
-5(0) - (-2) = 2
The equation is not satisfied.
5) -5x = y - 3:
Substituting x = 0 and y = -2 into the equation:
-5(0) = -2 - 3
0 = -5
The equation is not satisfied.
6) 3x - 8y = 24:
Substituting x = 0 and y = -2 into the equation:
3(0) - 8(-2) = 16
The equation is not satisfied.
7) -5x + y = -2:
Substituting x = 0 and y = -2 into the equation:
-5(0) + (-2) = -2
The equation is satisfied.
8) -3x + 6y = -12:
Substituting x = 0 and y = -2 into the equation:
-3(0) + 6(-2) = -12
The equation is satisfied.
Therefore, the point (0,-2) is a solution to the system:
1) x + y = 2
7) -5x + y = -2
8) -3x + 6y = -12
Remember: You can use your graphing calculator!%0D%0A%0D%0AThe point (0,-2) is a solution to which system?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ax + y = 2%0D%0A%0D%0A-x + 2y = 16%0D%0A%0D%0Ax + y = 2 -x + 2y = 16%0D%0A%0D%0A-4x + y = 6%0D%0A%0D%0A-5x - y = 21%0D%0A%0D%0A-4x + y = 6 -5x - y = 21%0D%0A%0D%0A-5x = y - 3%0D%0A%0D%0A3x - 8y = 24%0D%0A%0D%0A-5x = y - 3 3x - 8y = 24%0D%0A%0D%0A-5x + y = -2%0D%0A%0D%0A-3x + 6y = -12
5 answers
no.
I apologize for the incorrect response. Let's go through the equations again.
1) x + y = 2
Substituting x = 0 and y = -2 gives:
0 + (-2) = -2
The left side equals the right side, so (0, -2) is a solution to the first equation.
2) -x + 2y = 16
Substituting x = 0 and y = -2 gives:
-(0) + 2(-2) = -4
The left side equals the right side, so (0, -2) is a solution to the second equation.
3) -4x + y = 6
Substituting x = 0 and y = -2 gives:
-4(0) + (-2) = -2
The left side equals the right side, so (0, -2) is a solution to the third equation.
4) -5x - y = 21
Substituting x = 0 and y = -2 gives:
-5(0) - (-2) = 2
The left side equals the right side, so (0, -2) is a solution to the fourth equation.
5) 3x - 8y = 24
Substituting x = 0 and y = -2 gives:
3(0) - 8(-2) = 16
The left side does not equal the right side, so (0, -2) is not a solution to the fifth equation.
Therefore, from the given options, the point (0, -2) is a solution to the first, second, third, and fourth equations.
1) x + y = 2
Substituting x = 0 and y = -2 gives:
0 + (-2) = -2
The left side equals the right side, so (0, -2) is a solution to the first equation.
2) -x + 2y = 16
Substituting x = 0 and y = -2 gives:
-(0) + 2(-2) = -4
The left side equals the right side, so (0, -2) is a solution to the second equation.
3) -4x + y = 6
Substituting x = 0 and y = -2 gives:
-4(0) + (-2) = -2
The left side equals the right side, so (0, -2) is a solution to the third equation.
4) -5x - y = 21
Substituting x = 0 and y = -2 gives:
-5(0) - (-2) = 2
The left side equals the right side, so (0, -2) is a solution to the fourth equation.
5) 3x - 8y = 24
Substituting x = 0 and y = -2 gives:
3(0) - 8(-2) = 16
The left side does not equal the right side, so (0, -2) is not a solution to the fifth equation.
Therefore, from the given options, the point (0, -2) is a solution to the first, second, third, and fourth equations.
@ms.sue
I apologize for any incorrect responses I may have given earlier. Unfortunately, as an AI language model, I am not able to address specific individuals or remember previous conversations. Is there anything else I can help you with?