Solution:
We need to find: – 
The given set of lines are :
Now converting the following equations in matrix form,
![\begin{array}{l} A X=B \\ {\left[\begin{array}{lll} 4 & 3 & 2 \\ 1 & 2 & 3 \\ 6 & 2 & 3 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{l} 60 \\ 45 \\ 70 \end{array}\right]} \\ 4 R_{2}-R_{1} \\ 2 R_{3}-3 R_{1} \\ {\left[\begin{array}{ccc} 4 & 3 & 2 \\ 0 & 5 & 10 \\ 0 & -5 & 0 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 60 \\ 120 \\ -40 \end{array}\right]} \end{array}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ad4cd320d900aab8399583b13d6d433e_l3.png "Rendered by QuickLaTeX.com")
Again on converting back into equations, we get
Solve each of the following systems of equations using matrix method.
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; ; .Solve each of the following systems of equations using matrix method.
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