Answer:
Step-by-step explanation:
Try substitution, using the fact that x - y = 17 is equivalent to x = 17 + y:
4y + 9(17 + y) = 82, which simplifies to 13y + 153 = 82.
Subtracting 153 from both sides, we get: 13y = -71, so y = -71/13, or y = -71/13
Substituting -71/13 for y in the second equation yields
x - (-71/13) = 17, or x + 71/13 = 17.
Finally, we subtract 71/13 from both sides, obtaining the value of x:
x = 17 - 71/13, or 150/13
The solution of this system is (150/13, -71/13).
