You subtract 3 cents and add up how many months it is tiil it reaches the same ammout as adding 5 cents and adding up six months every time
2.
-7x + 8x + 1 = x - 7
3.
4. d dimes and q quarters
d + q = 61
d + 3 = q
There's one more equation -- the problem is overconstrained. Let's solve what we have so far. Substituting,
d + d + 3 = 61
2d = 58
d = 29
q = d + 3 = 32
The last equation in cents is
1090 = 10d + 25q
Let's see if our solution still checks:
10(29) + 25(32) = 290 + 800 = 1090
That checks.
Answer: 29 dimes, 32 quarters
5.
1980 = (n-2)180
n-2 = 1980/180 = 11
n = 13
Answer: 13
You basically just have to do . . .
257/54
4.759 . . .
≈ 4.76 hours
Answer: 4.76 hours
Answer:
the system would have crossed one solution