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This document demonstrates how to solve a system of simultaneous equations using three different methods in mathcad: determinants, matrix inversion, and a solve block. The given system of equations is 2x - 1y + 1z = 2, 1x + 1y - 2z = 7, and 2x + 3y + 1z = -2.
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Solving a system of simultaneous equations in Mathcad utilizing determinants : Given Information: 2x - 1y + 1z = 2 1x + 1y - 2z = 7 2x + 3y + 1z = -
Mathcad definitions and solutions:
x
y
z
x = 2 y = 1 z = 3
Solving a system of simultaneous equations in Mathcad utilizing matrix inversion :
Given Information:
2x - 1y + 1z = 2 1x + 1y - 2z = 7 2x + 3y + 1z = -
Mathcad definitions and solutions:
x C 0 y C 1 z C 2 C =
3 x^ =^2 y^ =^1 z^ =^3
Solving a system of simultaneous equations in Mathcad utilizing a solve block :
Given Information: 2x - 1y + 1z = 2 1x + 1y - 2z = 7 2x + 3y + 1z = -
Mathcad definitions and solutions:
x 1 y 1 z 1 (these are the initial guesses for the 3 unknowns) Given 2 x. 1 y. 1 z. 2 (note that constrained equality , Ctrl = , is used in the 3 equations ) 1 x^. 1 y. 2 z. 7 2 x. 3 y. 1 z. 2
x y z
Find( x y z, , ) x = 2 y = 1 z = 3