Resposta:
x = 7/4, y = 4, z = 3
Explicação passo a passo:
[tex]4*\left[\begin{array}{cc}x&2&\\-z&1\\\end{array}\right] - \left[\begin{array}{cc}y&6&\\5&y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}4x&8&\\-4z&4\\\end{array}\right] - \left[\begin{array}{cc}y&6&\\5&y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}4x-y&2&\\-4z-5&4-y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
4x - y = 3
-4z - 5 = 7
4 - y = 0
4 - y = 0 -> y = 4
4x - 4 = 3
x = 7/4
z = 3
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Resposta:
x = 7/4, y = 4, z = 3
Explicação passo a passo:
[tex]4*\left[\begin{array}{cc}x&2&\\-z&1\\\end{array}\right] - \left[\begin{array}{cc}y&6&\\5&y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}4x&8&\\-4z&4\\\end{array}\right] - \left[\begin{array}{cc}y&6&\\5&y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}4x-y&2&\\-4z-5&4-y\\\end{array}\right] = \left[\begin{array}{cc}3&2&\\7&0\\\end{array}\right][/tex]
4x - y = 3
-4z - 5 = 7
4 - y = 0
4 - y = 0 -> y = 4
4x - y = 3
4x - 4 = 3
x = 7/4
-4z - 5 = 7
z = 3