Which system of equations is equivalent to the following system? 3x + 5y = 29 x + 4y = 16 3x + 5y = 29 −x − 4y = 16 3x + 5y = 29
1 answer:
Answer:
Option 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16
Step-by-step explanation:
Given system of equations is 3x+5y=29 and x+4y=16
To find the equivalent system of equations to the given system of equations :
Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations.
Because we can write the given equations as below
3x+5y=29 and x+4y=16
x+4y=16 rewritting as below
When multiply the above equation into (-3) we get
as same as the equation x+4y=16 so we can say that they are equivalent
Therefore Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations
Therefore 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16
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Answer:
4 acres of wheat and 4 acres of rye.
Step-by-step explanation:
Given: Farmer has only 7 acre, he has plant at least 7 acres.
Farmer has only $1200 to spend.
Each acre of wheat will cost $200 and rye will cost $100.
Planting time is only 12 hours
Wheat planting take 1 hour per hour and rye take 2 hours per acre.
Profit on wheat is $500 per acre and rye $300 per acre.
As to find out maximum profit, we need to plant maximum wheat.
While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.
Lets assume few number considering these constraint to get maximum profit.
First assumption, 5 acres of wheat and 2 acres of rye
Time taken=
Total time taken 7 hours
Amount spent=
Total cost is $ 1200.
Profit=
Maximum profit= $3100.
Second assumption, 4 acres of wheat and 4 acres of rye.
Times taken=
Total time taken is 12 hours
Amount spent=
Total cost is $1200.
Profit=
Maximum profit= $3200.
∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.