Question

Which of the following ordered pairs is a solution to the equation 3x−2y=10

?(1 point)
Responses

(4,1)
open paren 4 comma 1 close paren

(2,−1)
open paren 2 comma negative 1 close paren

(0,−3)
open paren 0 comma negative 3 close paren

(−3,2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To check if an ordered pair is a solution to the equation 3x - 2y = 10, we substitute the values of x and y into the equation and see if it satisfies the equation.

Let's check each option:

1) (4, 1)
Substituting x = 4 and y = 1 into the equation:
3(4) - 2(1) = 12 - 2 = 10
The equation is satisfied, so (4, 1) is a solution.

2) (2, -1)
Substituting x = 2 and y = -1 into the equation:
3(2) - 2(-1) = 6 + 2 = 8
The equation is not satisfied, so (2, -1) is not a solution.

3) (0, -3)
Substituting x = 0 and y = -3 into the equation:
3(0) - 2(-3) = 0 + 6 = 6
The equation is not satisfied, so (0, -3) is not a solution.

4) (-3, 2)
Substituting x = -3 and y = 2 into the equation:
3(-3) - 2(2) = -9 - 4 = -13
The equation is not satisfied, so (-3, 2) is not a solution.

Therefore, the only solution is (4, 1).