Final answer:
The ordered pair (-5,7) is not a solution of equation 2x+3y=18, as substituting these values into the equation does not result in a true statement.
Step-by-step explanation:
To determine whether the ordered pair (-5,7) is a solution of the equation 2x+3y=18, we need to substitute x with -5 and y with 7 into the equation and verify if the equation holds.
- Substitute x with -5: 2(-5) + 3y = 18
- Substitute y with 7: 2(-5) + 3(7) = 18
- Simplify: -10 + 21 = 18
- Check if the left-hand side equals the right-hand side: 11 = 18
Since 11 does not equal 18, the ordered pair (-5,7) is not a solution to the equation.