Question

For each ordered pair, determine whether it is a solution to 5x+2y=-1.

(x, y)
(2,8)
(-4,-6)
(-3,7)
(1, -3)
Is it a solution?
Yes
O
No
X
S

Answer 1

To determine if an ordered pair is a solution, substitute values into the equation and simplify.

Step-by-step explanation:

Ordered pairs as solutions to an equation

To determine whether an ordered pair is a solution to the equation 5x+2y=-1, substitute the x and y values into the equation and simplify. If the equation is satisfied, the ordered pair is a solution; otherwise, it is not.

Let's check each ordered pair:

1. For (2,8): 5(2) + 2(8) = 10 + 16 = 26, which is not equal to -1. Therefore, it is not a solution.
2. For (-4,-6): 5(-4) + 2(-6) = -20 - 12 = -32, which is not equal to -1. Therefore, it is not a solution.
3. For (-3,7): 5(-3) + 2(7) = -15 + 14 = -1, which is equal to -1. Therefore, it is a solution.
4. For (1, -3): 5(1) + 2(-3) = 5 - 6 = -1, which is equal to -1. Therefore, it is a solution.

The solutions to the equation are (-3, 7) and (1, -3).

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