Solve The Linear Equation System by Using Invers Equations

The system of linear equations of two or three variables in addition to using elimination and substitution can also be used inverse to find the settlement set.

Steps to Find the Set of Linear Equations by Using Invers Equations

Some steps that need to be considered to find the set of solutions of linear equations using inverse are as follows:

• Write the system of equations in matrix form
• Express the form into the multiplication of the coefficient matrix with its variable matrix.

Multiply both sides with inverse A or A^-1 so that it becomes:

For the form equation X . A = C, then to get X, multiply the two segments with A^-1 from the right, so that it is obtained:

Example:
Find the x and y values of 4x - 5y = -2 and -3x + 4y = 4!

Answer:
The system of equations 4x - 5y = -2 and -3x + 4y = 4 if made in matrix form becomes:

Multiplication of the matrix is formed A . X = C with:

So, the settlement set of the equations system is {12, 10}.

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Referensi :

• To'Ali's book math group accounting and sales

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