The lines l_1 with equation y = \frac{3}{2}x -2 and l_2 with equation 2x + 3y = 1 intersect at the point R. (a) Calculate the exact coordinates of R.

Step 1: Solve two equations(linear equations in two variables) to find the coordinate (x or y) at the point of intersection
NOTE: If line intersecting the y-axis then put x = 0 in the equation or
If line intersecting the x-axis then put y = 0 in the equation.
EXAMPLE: y = 2x + 3, y = -0.5x + 7
Setting the two y-coordinates equal looks like this:
2x + 3 = -0.5x + 7
2.5x + 3 = 7
2.5x = 4
x = 4/2.5
x = 1.6
You can follow any method to solve the equations.
Step 2: Substitute the coordinator (calculated in step 1) in the either of the equations to find the another coordinate. (x or y)
NOTE: The y-coordinate can be found by placing the x-coordinate, into either of the equations for the lines and solving for y vise versa.
Step 3: You now have the x-coordinate and y-coordinate for the point of intersection.
NOTE: As a check for your work plug the x-coordinate into the other equation and you should get the same y-coordinate.