Question

For each ordered pair, determine whether it is a solution to 5x+7y=-3

(6,0)
(5,-4)
(-1,2)
(-4,-3)

Answer 1

To determine whether an ordered pair is a solution to the equation 5x+7y=-3, we need to substitute the x and y values into the equation and check if both sides of the equation are equal.

Let's check each ordered pair:

1) (6,0)
Substituting x=6 and y=0 into the equation:
5(6) + 7(0) = 30 + 0 = 30 ≠ -3
So, (6,0) is not a solution to the equation 5x+7y=-3.

2) (5,-4)
Substituting x=5 and y=-4 into the equation:
5(5) + 7(-4) = 25 - 28 = -3
So, (5,-4) is a solution to the equation 5x+7y=-3.

3) (-1,2)
Substituting x=-1 and y=2 into the equation:
5(-1) + 7(2) = -5 + 14 = 9 ≠ -3
So, (-1,2) is not a solution to the equation 5x+7y=-3.

4) (-4,-3)
Substituting x=-4 and y=-3 into the equation:
5(-4) + 7(-3) = -20 - 21 = -41 ≠ -3
So, (-4,-3) is not a solution to the equation 5x+7y=-3.

Thus, the only solution to the equation 5x+7y=-3 is (5,-4).