The point of intersection of given two lines is (0,-3).
Step-by-step explanation:
Given,
Two equations are
2x-3y = 9 ------eq 1
-3x+2y = -6 ---- eq 2
To find the point if intersection of these to lines that is to find the value of x and y
Now,
6x-9y = 27 ------ eq1 ×3
-6x+4y = -12 ------ eq 2 × 2
Adding these two equations we get,
(6x-9y)+(-6x+4y) = 27+(-12)
or, -5y = 15
or, y = -3
Putting the value of y in eq 1 we get,
2x = 9 + 3×(-3)
or, 2x = 0
or, x = 0
Hence the point of intersection is (0,-3)
