SOLUTION: A shipment of 21 computer keyboards and 33 monitors cost $35564.25. Another shipment of 41 keyboards and 36 monitors cost $49503.08. Find the cost of each keyboard and each monitor

Question 909126: A shipment of 21 computer keyboards and 33 monitors cost $35564.25. Another shipment of 41 keyboards and 36 monitors cost $49503.08. Find the cost of each keyboard and each monitor.
Found 3 solutions by richwmiller, josmiceli, clearblueskai:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
21k+33m=$35564.25
41k+36m=$49503.08
k=591.77 Those are expensive keyboards
m=701.12
21*591.77=12427.17
33*701.13=23137.29
35564.46
41*591.77=24262.57
36*701.12=25240.32
49502.89
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = cost of a keyboard
Let = the cost of a monitor
------------------------------
(1)
(2)
--------------------------
Divide both sides of (1) by
Divide both sides of (2) by
------------------------------
(1)
(2)
------------------------------------
Subtract (1) from (2)
(2)
(1)
------------------------------------

Multiply both sides by

---------------------
Plug this back into either equation to find
check my math, too

Answer by clearblueskai(22)   (Show Source): You can put this solution on YOUR website!
A shipment of 21 computer keyboards and 33 monitors cost $35564.25. Another shipment of 41 keyboards and 36 monitors cost $49503.08. Find the cost of each keyboard and each monitor.
x - cost of each keyboard
y - cost of each monitor

Subtitution:

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