Intersecting Lines

To solve the problem, we need to find the point of intersection of the two lines: and , and determine in which quadrant this point lies.

1. Write the given equations:
Equation (1):
Equation (2):

2. Solve the system of equations:
We'll use the method of elimination. First, multiply both equations to make the coefficients of equal:

Multiply Equation (1) by 3:
Multiply Equation (2) by 2:

3. Subtract the equations:

4. Substitute back to find :
From Equation (1):

5. Coordinates of the point of intersection:
The intersection point is

6. Determine the quadrant:
Since both and are positive, the point lies in the first quadrant.

Final Answer:
The point of intersection lies in Quadrant I.