How many solutions does this system have?
1 answer:
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Answer:
14
Step-by-step explanation:
starting at -18 you must add 5.4 until you reach 60
-18 + 5.4 = -12.6 once (1)
-12.6 + 5.4 = -7.2 twice (2)
-7.2 + 5.4 = -1.8 thrice (3)
-1.8 + 5.4 = 3.6 fourth (4)
3.6 + 5.4 = 9 fifth (5)
9 + 5.4 = 14.4 sixth (6)
14.4 + 5.4 = 19.8 seventh (7)
19.8 + 5.4 = 25.2 eighth (8)
25.2 + 5.4 = 30.6 ninth (9)
30.6 + 5.4 = 36 tenth (10)
36 + 5.4 = 41.4 eleventh (11)
41.4 + 5.4 = 46.8 twelth (12)
46.8 + 5.4 = 52.2 thirteenth (13)
52.2 + 5.4 = 57.6 fourteenth (14)
since 57.6 + 5.4 is over 60, we need to find the difference in how much we need
57.6 - 60 = -2.4
we need 2.4 so subtract by 5.4
5.4 - 2.4 = 3
therefore we should divide
= 14.444...
which means it goes into 60 (starting at -18) 14.444... repeating times
another way to find the answer is
add 18 + 60
18 + 60 = 78
78/5.4 = 14.444... repeating or 14
hope this helps:)