# Find x,y,z and w begin{bmatrix}x & 5&(2x-1) y & 4 & 4y end{bmatrix}=begin{bmatrix}(2x-3) & z&5 7 & (2+1)&(3y+7) end{bmatrix}

Find x,y,z and w
$\left[\begin{array}{ccc}x& 5& \left(2x-1\right)\\ y& 4& 4y\end{array}\right]=\left[\begin{array}{ccc}\left(2x-3\right)& z& 5\\ 7& \left(2+1\right)& \left(3y+7\right)\end{array}\right]$
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Step 1
Two matrices are equivalent when the corresponding terms of the matrices are equal.
Step 2
Find values as equal.
$x=2x-3$
$2x-x=3$
$x=3$
$y=7$
$z=5$
$w+1=4$
$w=4-1$
$w=3$
$3y+7=4y$
$4y-3y=7$
$y=7$
$x=3$
$y=7$
$z=5$
$w=3$

Jeffrey Jordon