Final answer:
The system of linear equations −x+2y=7 and x−2y=7 is inconsistent and has no solution.
Step-by-step explanation:
To solve the system of linear equations −x+2y=7 and x−2y=7, we can use the method of elimination. Add the two equations together to eliminate the variable x. This will result in 0x+0y=14, which simplifies to 0=14. Since this is not a true statement, the system of equations is inconsistent and has no solution.