Answer:
(6/11, 16/11)
Step-by-step explanation:
While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically. Also, reduce ambiguity by using parenthes: You meant either (5/3)x or 5/(3x). Which one? I'm assuming it's (5/3)x.
Then our system is:
(5/3)x - 2y = -2
x + y = 2
Let's eliminate y through addition/subtraction. Multiply the 2nd equation through by +2:
(5/3)x - 2y = -2
2x + 2y = 4
------------------------
(11/3)x = 2
Multiplying both sides by 3 eliminates the fractional coefficient:
11x = 6
Then x = 6/11. Now we must solve for y:
-(6/11) + y = 2
Multiplying 2 by 11/11 yields:
-(6/11) + y = 22/11.
This simplifies to y = 16/11
Thus, the solution of this system is
(6/11, 16/11)
