What is the area of the trapezoid?
1 answer:
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Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds
Step-by-step explanation:
We can work out some equations based on the given information:
We can call the boys A, B and C
so,
- when all three boys are standing on the scale, it reads 170 pounds.
- Eq(1)
- when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.
- Eq(2)
- when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.
So we already knew the weight of boy C. (it was in the question all along)
pounds
<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>
we can put this value back in Eq(2), to find the weight of boy B.
the
the weight of boy B (Ben) is pounds
now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.
the weight of boy A (Adam) is pounds
The Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds
First Let we solve the Original system of equations:
equation (1):
equation (2):
Multiplying equation (1) by 7, we get
Subtracting,
implies
Then
Thus the solution of the original equation is
Now Let we form the new equation:
Equation 2 is kept unchanged:
Equation (2):
Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:
Equation (1):
Now solve this two equations:
Multiply (1) by 7 and (2) by 8,
Subtracting, implies
Then x=2.
so the solution for the new system of equation is x=2, y=1.
This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations