for each ordered pair, determine whether it a solution to the systems of equations
2x+5y=-6
3x-2y=-9
(x,y) is it a solution? yes/no
(7,-4)
(6,2)
(-3,0)
(-5,-3)
To check if an ordered pair is a solution to a system of equations, we substitute the values of x and y into each equation and see if the resulting expressions are true.
For the system of equations:
2x + 5y = -6
3x - 2y = -9
Let's check each ordered pair:
1. (7, -4)
For 2x + 5y = -6:
2(7) + 5(-4) = -6
14 - 20 ≠ -6
This ordered pair is not a solution.
2. (6, 2)
For 2x + 5y = -6:
2(6) + 5(2) = -6
12 + 10 = -6
This ordered pair is not a solution.
3. (-3, 0)
For 2x + 5y = -6:
2(-3) + 5(0) = -6
-6 + 0 = -6
This ordered pair is a solution.
4. (-5, -3)
For 2x + 5y = -6:
2(-5) + 5(-3) = -6
-10 - 15 = -6
This ordered pair is not a solution.
Therefore, the solutions are:
(7, -4) - No
(6, 2) - No
(-3, 0) - Yes
(-5, -3) - No