Solution:
1. Write the system of equations:
- Equation 1: Y - 3x = -5
- Equation 2: Y - x = 3
2. Solve for Y in Equation 2:
Y = x + 3
3. Substitute Y = x + 3 into Equation 1:
x + 3 - 3x = -5
4. Solve for x:
x + 3 - 3x = -5-2x + 3 = -5-2x = -5 - 3-2x = -8x = 4
5. Substitute x = 4 back into the equation for Y:
Y = 4 + 3Y = 7
Thus, the solution is:
x = 4, Y = 7.