Utilize the inverse matrix method solve the system of linear equations.

{eq}\left\{ \begin{align} & x+y+z=0 \\ & 3x+5y+4z=5 \\ & 3x+6y+5z=2 \\ \end{align} \right. {/eq}

## Question:

Utilize the inverse matrix method solve the system of linear equations.

{eq}\left\{ \begin{align} & x+y+z=0 \\ & 3x+5y+4z=5 \\ & 3x+6y+5z=2 \\ \end{align} \right. {/eq}

## System of Linear Equations:

The equations can be converted in the matrix form very easily, does not matter how many equations we have. Also, the cofactors used to evaluate the value of the inverse of the matrix formed using the equations can be evaluated using the formula {eq}{A_{ij}} = {\left( { - 1} \right)^{i + j}}{M_{ij}}{/eq} .

## Answer and Explanation: 1

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**Given:**

- The equations are {eq}x + y + z = 0{/eq} , {eq}3x + 5y + 4z = 5{/eq} and {eq}3x + 6y + 5z = 2{/eq} .

The **objective** is to solve the given...

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Chapter 8 / Lesson 8Learn the linear equation definition, understand the meaning of linear equations, see systems of linear equations, and learn how to solve a system of linear equations through linear equation examples. Practice writing systems of linear equations and finding a solution to a system of linear equations.

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