Given :
Lin has a pet German shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit.
To Find :
Which measurement is in pounds, and which is in kilograms.
Solution :
We know, mass in kg and pounds are related as :
Putting, and
, we get :
LHS = 84
RHS = 2.2 × 38 = 83.6 ≈ 84
Since, LHS = RHS .
Therefore, 38 units is Kg and 84 units in Pounds.
Hence, this is the required solution.
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