24 is 4 times as many as 6
6*4=24
We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
To learn more about elimination method, here:-
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Answer:
The simplified form of the given expression is 
Step-by-step explanation:
Here, the given expression is:

Now to simplify the given expression, perform operations on LIKE TERMS:
We get:
![-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =( -3 - 4) + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7 + [(\frac{2}{3}) -(\frac{1}{3})]y = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y = -7 + (\frac{1}{3})y](https://tex.z-dn.net/?f=-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%20%3D%28%20-3%20%20-%204%29%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20y-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5D%5C%5C%3D%20-%207%20%20%2B%20%5B%28%5Cfrac%7B2%7D%7B3%7D%29%20-%28%5Cfrac%7B1%7D%7B3%7D%29%5Dy%20%20%3D%20-7%20%2B%20%5B%5Cfrac%7B2-1%7D%7B3%7D%5Dy%5C%5C%20%3D%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y%5C%5C%20%5Cimplies%20-3%20%2B%20%28%5Cfrac%7B2%7D%7B3%7D%29%20y%20-%204%20-%20%28%5Cfrac%7B1%7D%7B3%7D%29y%20%3D%20%20%20-7%20%2B%20%28%5Cfrac%7B1%7D%7B3%7D%29y)
Hence the simplified form of the given expression is 
Answer:
x=40.25
Step-by-step explanation: