Solution of Equation
Solution of Equation of 3x2-5xy+2y2=3
4x-3y=14
Solve the following Equations
3x2-5xy+2y2=3
4x-3y=14
Solution
3x2-5xy+2y2=33………. i
4x-3y=14……………. ii
We solve by substitution method
Make x to be the subject of the formular using Equation (ii)
Substitute it in above equation (i) above
3 )-5( +2y2=33
Multiply both side by 4
42+9y-70-15y+8y2=165
8y2-6y-193=0
y= -4.55102 or 5.30102
value of x = 0.086735 or 7.47576 Respectively
References
Haavelmo, T. (1943). The statistical implications of a system of simultaneous equations. Econometrica, Journal of the Econometric Society, 1-12. | |
Broyden, C. G. (1965). A class of methods for solving nonlinear simultaneous equations. Mathematics of computation, 19(92), 577-593. | |
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