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).
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)
1 answer
1 answer