Write the given matrix equation as a system of linear equations without matrices. begin{bmatrix}4 & -7 2 &-3 end{bmatrix}begin{bmatrix}x y end{bmatrix}=begin{bmatrix}-3 1 end{bmatrix}

Write the given matrix equation as a system of linear equations without matrices.
$\left[\begin{array}{cc}4& -7\\ 2& -3\end{array}\right]\left[\begin{array}{c}x\\ y\end{array}\right]=\left[\begin{array}{c}-3\\ 1\end{array}\right]$
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Step 1
When the system of equations is given in the matrix form , then to write the equation we find the dot product of the variable matrix and the coefficient matrix , then equating it to the constant matrix will give the resultant matrix.
The system of equations in matrix form is given as,
$AX=B$
Where,
$A=$ The coefficient matrix
$X=$ The variable matrix
$B=$The constant matrix
Step 2
The given system of equations in matrix form is,
$\left[\begin{array}{cc}4& -7\\ 2& -3\end{array}\right]\left[\begin{array}{c}x\\ y\end{array}\right]=\left[\begin{array}{c}-3\\ 1\end{array}\right]$
Using dor product the resulting equations are,
$4x-7y=-3$
And,
$2x-3y=1$
therefore , the equations are,
$4x-7y=-3$
$2x-3y=1$

Jeffrey Jordon