How Do You Solve Linear Equations In Three Variables?
You can use the Gaussian method to solve a system of three linear equations simultaneously, if the system has a solution. The basic idea is to add integer multiples of two equations to produce a new equation with fewer variables. The new equation will substitute for one of the two equations from which you calculated it. You’d then repeat this process until all variables are determined. This approach is also called the “elimination method.” Place the variable terms on the left side of the equal signs, and the constants on the right. Order the variables to match up vertically. For example, 2x+3y+2z=0 3x+2y+3z=0 3x+3y+2z=1 Now add integer multiples of two equations to each other to eliminate at least one variable. Replace one of the two equations used to make this calculation. Continuing with the above example, note that the first and last equations have two terms that are the same. Therefore, subtracting the first equation from the last will produce an equation with only one variable lef
