Final answer:
The ordered pair (-2,5) is a solution to the system of linear equations.
Step-by-step explanation:
To determine if the ordered pair (-2,5) is a solution to the system of linear equations, we substitute the values of x and y into each equation and check if the equations are satisfied.
For the first equation, we have: 2(-2) + 3(5) = 11, which simplifies to -4 + 15 = 11. Since both sides are equal, the first equation is satisfied.
For the second equation, we have: -4(-2) + 5 = 13, which simplifies to 8 + 5 = 13. Again, both sides are equal, so the second equation is satisfied as well.
Since both equations are satisfied, the ordered pair (-2,5) is indeed a solution to the system of linear equations.