For each ordered pair, determine whether it is a solution to .9x - 2y = 17

Is it a solution?
Yes No
(1, -4)
(0, 6)
(3, 5)
(-5, -3)

1 answer

To determine whether each ordered pair is a solution to the equation .9x - 2y = 17, we can substitute the x and y values into the equation and check if the equation is satisfied.

Let's check each ordered pair one by one:

For (1, -4):
.9(1) - 2(-4) = 0.9 + 8 = 8.9
8.9 does not equal 17. Therefore, (1, -4) is not a solution to the equation.

For (0, 6):
.9(0) - 2(6) = 0 - 12 = -12
-12 does not equal 17. Therefore, (0, 6) is not a solution to the equation.

For (3, 5):
.9(3) - 2(5) = 2.7 - 10 = -7.3
-7.3 does not equal 17. Therefore, (3, 5) is not a solution to the equation.

For (-5, -3):
.9(-5) - 2(-3) = -4.5 + 6 = 1.5
1.5 does not equal 17. Therefore, (-5, -3) is not a solution to the equation.

In conclusion, none of the ordered pairs (1, -4), (0, 6), (3, 5), and (-5, -3) are solutions to the equation .9x - 2y = 17.