If
![\left[\begin{array}{ccc}{2x}&{3x-y}\\{2x+z}&{3y-w}\end{array}\right]=\left[\begin{array}{ccc}3&{2}\\4&{7}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B2x%7D%26amp%3B%7B3x-y%7D%5C%5C%7B2x%2Bz%7D%26amp%3B%7B3y-w%7D%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B%7B2%7D%5C%5C4%26amp%3B%7B7%7D%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}{2x}&{3x-y}\\{2x+z}&{3y-w}\end{array}\right]=\left[\begin{array}{ccc}3&{2}\\4&{7}\end{array}\right]")
find x, y, z, w
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Equating the corresponding elements of equal matrices
2x is 3
x is 3/2
3x-y is 2
3(3/2)-y is 2
9/2-y is 2
9-2y is 4
2y is 5
y is 5/2
2x+z is 4
2(3/2)+z is 4
z is 1
3y- w is 7
3(5/2)-w is 7
15-2w is 7
2w is 8
w is 4
2x is 3
x is 3/2
3x-y is 2
3(3/2)-y is 2
9/2-y is 2
9-2y is 4
2y is 5
y is 5/2
2x+z is 4
2(3/2)+z is 4
z is 1
3y- w is 7
3(5/2)-w is 7
15-2w is 7
2w is 8
w is 4
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