Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Can someone help me with system of equations?

A pet store sells 2 cats and 1 dog for $350. The next day they sell 1 cat and 2 dogs for $475. Find the cost of one cat and one dog.


Sagot :

2x + y = 350
x + 2y = 475 
3x + 3y = 825
x + y = 275
x = 275 - y 
(plug back into first equation) 
2(275 - y) + y = 350
550 - 2y + y = 350 
550 - y = 350
-y =-200 or y = $200 (dog)
therefore, x = $75 (cats)
Check
2(75) + 200 = 350
75 + 400 = 475 
HAPPINESS! :)