The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to e
2 answers:
Given:
The system of equations is
...(i)
...(ii)
To find:
The number that must be multiplied with the second equation to eliminate the y-variable.
Solution:
Coefficient of y variable in equation (i) is 3 and in equation (ii) is -1.
To eliminate y-variable the absolute value of coefficients of y-variables should be same.
So, we need to multiply the second equation by 3 to eliminate the y-variable
Multiplying equation (ii) by 3, we get
...(iii)
Adding (i) and (iii), we get
Divide both sides by 7.
Put x=12 in (i).
Divide both sides by 10.
Therefore, x=12 and y=10.
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Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :
Also, h = r/5
r = 5h
Differentiating above equation w.r.t h, we get :
Hence, this is the required solution.