Solve the system of equations:2x + y = 5x -3y = 7

Sure, let's solve the system of equations step by step.

1. The system of equations is:

   2x + y = 5 5x - 3y = 7

2. Let's isolate y in the first equation:

   y = 5 - 2x

3. Now, we substitute y in the second equation:

   5x - 3(5 - 2x) = 7 5x - 15 + 6x = 7 11x - 15 = 7 11x = 22 x = 2

4. Substitute x = 2 into the first equation to solve for y:

   2*2 + y = 5 4 + y = 5 y = 1

So, the solution to the system of equations is x = 2 and y = 1.