Answer:
(7, - 3 )
Step-by-step explanation:
Solve the 2 equations simultaneously to find intersection.
Given the equations of the sides
2x + 3y = 5 → (1)
3x + y = 18 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the y- term
- 9x - 3y = - 54 → (3)
Add (1) and (3) term by term
(2x - 9x) + (3y - 3y) = (5 - 54) and simplifying gives
- 7x = - 49 ( divide both sides by - 7 )
x = 7
Substitute x = 7 into (1) or (2) for corresponding value of y
Substituting in (2)
21 + y = 18 ( subtract 21 from both sides )
y = - 3
Point of intersection = (7, - 3 )
