If the system of equations contains three unknowns, the number of terms in each equation containing the unknowns is one time, and there are two or more equations in the system of equations. Such a system of equations is called a ternary system of equations.Their main solutions are the addition and subtraction elimination method and the substitution elimination method. Usually, the addition and subtraction elimination method is used. If the equation is difficult to solve, the substitution elimination method is used, which varies depending on the problem. The idea is to use the elimination method to eliminate elements gradually.
Solution:
The basic idea of solving ternary linear equations is to eliminate them by "substituting" or "addition and subtraction", then "ternary" is converted into "binary", so that the solution of ternary linear equations is converted to solving the binary linear equations The group is then converted to solve a linear equation in one variable. This is the same as the idea of solving binary linear equations.
Their main solutions are addition and subtraction elimination method and substitution elimination method. Usually, the addition and subtraction elimination method is used. If the equation is difficult to solve, the substitution elimination method is used, which varies according to the problem. The idea is to use the elimination method to gradually eliminate the element.
Three-dimensional linear equations: \(aX + bY + cZ = d\)
Equation 1) a=5; b=1; c=3; d=2
Equation 2) a=1; b=5; c=3; d=7
Equation 3) a=4; b=5; c=2; d=1
Click "Calculate" to output the result
X=-1.15; Y=0.1; Z=2.55
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