To determine whether each ordered pair is a solution to 2x + 7y = -5, we substitute the values of x and y into the equation and see if the equation holds true.
Let's check each ordered pair:
1) (9,2)
When x = 9 and y = 2, we have:
2(9) + 7(2) = 18 + 14 = 32
-5 is not equal to 32, so (9,2) is not a solution.
2) (8,-3)
When x = 8 and y = -3, we have:
2(8) + 7(-3) = 16 - 21 = -5
-5 is equal to -5, so (8,-3) is a solution.
3) (-6,1)
When x = -6 and y = 1, we have:
2(-6) + 7(1) = -12 + 7 = -5
-5 is equal to -5, so (-6,1) is a solution.
4) (-5,-4)
When x = -5 and y = -4, we have:
2(-5) + 7(-4) = -10 - 28 = -38
-5 is not equal to -38, so (-5,-4) is not a solution.
Therefore, the solutions are:
Yes No
(9,2) - No
(8,-3) - Yes
(-6,1) - Yes
(-5,-4) - No
For each ordered pair, determine whether it is a solution to 2x + 7y = -5.
Is it a solution?
Yes No
(9,2)
(8,-3)
(-6,1)
(-5,-4)
1 answer