# How do you solve # 6x+5y = 8# and #3x-y = 7# using matrices?

##### 2 Answers

#### Explanation:

Given equations can be written as follows

Using matrix method, the solution can be written as

#### Explanation:

Put the coefficients of the equations into a matrix, and put the solutions into 1 column vector and the variables into another vector:

We now have the matrix equation:

If

We need to find

First find the determinant of

Determinant of

So determinant of:

Swap the elements on the leading diagonal and change the signs on the non-leading diagonal:

Next multiply by the reciprocal of the determinant:

We now have:

Hence: