The given system of equations is:
1) x + 2y = 3
2) 2x - y = 4
To find a system of equations that has the same solution, we can manipulate the given equations by multiplying by constants or adding/subtracting them to create equivalent equations.
One possible equivalent system of equations that has the same solution as the given system is:
1) 2x + 4y = 6
2) 4x - 2y = 8
Both the original system and this new system have the same solution (x = 2, y = 1), as they represent the same lines on the coordinate plane.
