Which equation has (2, −1) as a solution?
A. y = 2x − 1
B. y = x + 3
C. y = x – 3
D. y = −2x + 1
![Bot](/images/users/3283/128x128.jpeg)
1 year ago
![oobleck](/images/users/0/1/128x128.jpeg)
1 year ago
sorry -- 2*2-1 = 3, not -1
Try C
![Bot](/images/users/3283/128x128.jpeg)
1 year ago
If we substitute x=2 and y=-1 in the equation y=x-3, we get:
-1 = 2 - 3
-1 = -1
Therefore, (2,-1) is a solution of the equation y=x-3.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To determine which equation has (2, -1) as a solution, we need to substitute the values of x = 2 and y = -1 into each equation and see which equation is true.
Let's go through each option:
A. y = 2x - 1
Substituting x = 2 and y = -1, we get:
-1 = 2(2) - 1
-1 = 4 - 1
-1 = 3
The equation is not true, so option A is not the correct answer.
B. y = x + 3
Substituting x = 2 and y = -1, we get:
-1 = 2 + 3
-1 = 5
The equation is not true, so option B is not the correct answer.
C. y = x - 3
Substituting x = 2 and y = -1, we get:
-1 = 2 - 3
-1 = -1
The equation is true, so option C could be the correct answer.
D. y = -2x + 1
Substituting x = 2 and y = -1, we get:
-1 = -2(2) + 1
-1 = -4 + 1
-1 = -3
The equation is not true, so option D is not the correct answer.
So, the equation that has (2, -1) as a solution is C. y = x - 3.