Given :
- 2x + 2y = 3 (Equation #1)
- 6x - 6y = -1 (Equation #2)
Multiply Equation #1 by 3 :
- 3(2x + 2y) = 3(3)
- 6x + 6y = 9 (Equation #3)
Add Equations 2 and 3 :
- 6x - 6y + 6x + 6y = -1 + 9
- 12x = 8
- x = 2/3
Now, input x in Equation #3 to find y :
- 6(2/3) + 6y = 9
- 4 + 6y = 9
- 6y = 5
- y = 5/6
∴ Hence, the point of intersection is (2/3, 5/6).
