How do you solve a simultaneous equation using matrices?
Write the equations as matrices.
Multiply both sides by the inverse matrix of the coefficients.
Here is the general principal, without using an actual example.
Equations such as
can be written as matrices:
A matrix multiplied by its inverse gives the unit or identity matrix
Multiplying by this matrix has the same result as multiplying by
Find this inverse matrix.
Then multiplying both sides by
When you multiply the right side you will have the values for