Solving Simultaneous Equations in 10 seconds
Let us assume two equations with the difference variable X and Y as bellow
Now if you have to solve it in 10 seconds, how you will do..??
your time starts now…
X + 4Y = 10
4X + 6Y = 20
SHORT TIPS…
General formula…
In this
bellow equation X&Y are variables in the equation 1&2
AX + BY = C
(1)
DX + EY = F
(2)
Solution. Let us calculate the value of first variable
x
X = (B*F –E*C) / (B*D-A*E)
From the
above formula we can find the value of X and on putting the value of x in any
of equation 1 or2 we can find value of Y easily.
Now on the
base of this tricks we solve this questions
X + 4Y = 10
4X + 6Y = 20
X = (4*20 -
6*10) / (4*4 - 1*6) = 20/10 = 2
Now put
value of x in equations 1 or 2
2+4Y=10
4Y=10-2=8
Y=2
Finally X= 2
Y= 2
