Which system of linear inequalities has the point (2,1) in its solution set
1 answer:
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Answer:
The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Step-by-step explanation:
Given as :
The ratio of cement to sand to gravel = 1 : 3 : 4
The total quantity of dry mix required = 1000 pounds
Let The quantity of cement required = 1 × x pounds
The quantity of sand required = 3 × x pounds
The quantity of gravel required = 4 × x pounds
So, According to question
The total quantity of dry mix required = The quantity of cement required + The quantity of sand required + The quantity of gravel required
Or, x + 3 x + 4 x = 1000 pounds
Or, 8 x = 1000 pounds
∴ x =
I.e x = 125
So , The quantity of cement required = 1 × 125 pounds = 125 pounds
The quantity of sand required = 3 × 125 pounds = 375 pounds
The quantity of gravel required = 4 × 125 pounds = 500 pounds
Hence The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Answer
Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are
To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)
_________________
________________
(since "-" getting cancelled)
Now adding equations (1) and (3)
_________________
________________
Now adding equations (4) and (5)
_________________
________________
Therefore y=7
Substituting y=7 in equation (4)
Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get
Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.