One cat = x
One dog = y
2x + y = 350
x + 2y = 475
2x +y = 350
-2x -2x
____________
y = 350-2x
x + 2y = 475
x + 2(350 - 2x) = 475
x + 700 - 4x = 475
- 700 - 700
________________
(-3x = -225) ÷ -3
x = 75
2x + y = 350
2(75) + y = 350
150 + y = 350
-150 -150
____________
y = 200
The cost of one cat is $75.
The cost of one dog is $200.