decided whether the given ordered pair is a solution of the given system of equations (3,-3) 2x=9-y 6x=24+2y
To determine whether the ordered pair (3,-3) is a solution of the given system of equations, we need to substitute the values of x and y from the ordered pair into each equation and see if the equations remain true.
1) For the equation 2x=9-y:
Substituting x = 3 and y = -3 into the equation:
2(3) = 9 - (-3)
6 = 9 + 3
6 = 12
The equation is false when using the values of x = 3 and y = -3, so the ordered pair (3,-3) is not a solution for the equation 2x=9-y.
2) For the equation 6x=24+2y:
Substituting x = 3 and y = -3 into the equation:
6(3) = 24 + 2(-3)
18 = 24 - 6
18 = 18
The equation is true when using the values of x = 3 and y = -3, so the ordered pair (3,-3) is a solution for the equation 6x=24+2y.
In conclusion, the ordered pair (3,-3) is not a solution for the given system of equations.