Mathematical tools for intermediate economics classes
Iftekher Hossain
Solve the following system of linear simultaneous equations: 2x+2y=2(1) 4x+6y+3z=1(2) −6x−10y=−6(3)
From equation (1), x=1−y is the expression for x in terms of y.
Substitute 1−y for x in equation (3):
−6(1−y)−10y=−6
−6+y−10y=−6
y=0
As, y=0, from equation (1) we get x=1 and from equation (2) we get z=−1.
