Answer:
Solution: {x = 2, y = -1/3}
Explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}