Determine which of the following ordered pairs is a solution to the equation 3х — 8 = —4y. (1 point)

O (-1, 1)
O (0, -2)
O. (0,2)
O (1,1)

1 answer

To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we can substitute the x and y values into the equation and check if the equality holds.

For the ordered pair (-1, 1), the equation becomes: 3(-1) - 8 = -4(1)
Which simplifies to: -3 - 8 = -4
This is not true, so (-1, 1) is not a solution.

For the ordered pair (0, -2), the equation becomes: 3(0) - 8 = -4(-2)
Which simplifies to: 0 - 8 = 8
This is not true, so (0, -2) is not a solution.

For the ordered pair (0, 2), the equation becomes: 3(0) - 8 = -4(2)
Which simplifies to: 0 - 8 = -8
This is true, so (0, 2) is a solution.

For the ordered pair (1, 1), the equation becomes: 3(1) - 8 = -4(1)
Which simplifies to: 3 - 8 = -4
This is not true, so (1, 1) is not a solution.

Therefore, the only ordered pair that is a solution to the equation 3x - 8 = -4y is (0, 2).