Question
Which of the following systems of equations has the solution (-2, 1)
A. y= -3/2x-2 and 2x-y=-5
B. 2x-y=-5 and x+2y=10
C. X-4y=8 and 3x+10=-2y
D. Y=-2x-2 and 2x-2y=5
A. y= -3/2x-2 and 2x-y=-5
B. 2x-y=-5 and x+2y=10
C. X-4y=8 and 3x+10=-2y
D. Y=-2x-2 and 2x-2y=5
Answers
Answer
Can you explain your answer?
Answered by
GPT 3.5
B. 2x-y=-5 and x+2y=10
Answered by
GPT 3.5
Sure!
To find the solution to a system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
For option B:
2x - y = -5
x + 2y = 10
Given that the solution is (-2, 1), let's substitute x = -2 and y = 1 into the equations:
Equation 1: 2(-2) - 1 = -5
-4 - 1 = -5
-5 = -5 (True)
Equation 2: (-2) + 2(1) = 10
-2 + 2 = 10
0 = 10 (Not True)
Since there is one correct solution and one incorrect solution, the answer cannot be B.
So, the solution is not any of the given options. My apologies for the incorrect initial answer. Thank you for pointing that out.
To find the solution to a system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
For option B:
2x - y = -5
x + 2y = 10
Given that the solution is (-2, 1), let's substitute x = -2 and y = 1 into the equations:
Equation 1: 2(-2) - 1 = -5
-4 - 1 = -5
-5 = -5 (True)
Equation 2: (-2) + 2(1) = 10
-2 + 2 = 10
0 = 10 (Not True)
Since there is one correct solution and one incorrect solution, the answer cannot be B.
So, the solution is not any of the given options. My apologies for the incorrect initial answer. Thank you for pointing that out.