Question

which ordered pairs is a solution to the following equation?

y=9x-2

(2,16)
(-1,-11)
(1,7)
(-1,11)
(0,-2)

Answer 1

To check if an ordered pair is a solution to the equation y = 9x - 2, substitute the x-value into the equation and see if it produces the y-value.

Let's plug in the x-values and check:

For (2,16):
y = 9(2) - 2
y = 18 - 2
y = 16

Since the y-value matches the given y-value of the ordered pair, (2,16) is a solution to the equation.

For (-1,-11):
y = 9(-1) - 2
y = -9 - 2
y = -11

Since the y-value matches the given y-value of the ordered pair, (-1,-11) is a solution to the equation.

For (1,7):
y = 9(1) - 2
y = 9 - 2
y = 7

Since the y-value matches the given y-value of the ordered pair, (1,7) is a solution to the equation.

For (-1,11):
y = 9(-1) - 2
y = -9 - 2
y = -11

The y-value does not match the given y-value of the ordered pair, so (-1,11) is not a solution to the equation.

For (0,-2):
y = 9(0) - 2
y = 0 - 2
y = -2

Since the y-value matches the given y-value of the ordered pair, (0,-2) is a solution to the equation.

Therefore, the ordered pairs that are solutions to the equation y = 9x - 2 are:
(2,16), (-1,-11), (1,7), and (0,-2).