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vampirchik [111]
3 years ago
9

Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0
Given system of equation:
y=-1/5x +1 Equation 1
y=x+4 Equation 2
Substitute value of y in equation 2.
x+4=-1/5x+1
Multiply both sides by 5.
5x+20=-x+5
Add x to both sides
6x+20=5
Subtract 20 from both sides
6x=-15
x=-15/6
x=-5/2
Now substitute value of x in equation 1.
y=-1/5 ( -5/2) +1
y=1/2+1
y=3/2

Solution is (x,y)= (-5/2 , 3/2)
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Step-by-step explanation:

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2 times 8=16

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a^{12}

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a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
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My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

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