Answer:
The answer to your question is:
x = -8; y = 1 ; z = -4
Step-by-step explanation:
Δ = [tex]\left[\begin{array}{ccc}-5&1&-4\\2&4&3\\6&-3&-2\end{array}\right][/tex]
= 40 + 24 + 18 - (-4 + 45 - 96)
= 82 + 55
= 137
Δx = [tex]\left[\begin{array}{ccc}60&1&-4\\-12&4&3\\-52&-3&-2\end{array}\right][/tex]
= - 480 - 144 - 156 - ( 24 - 540 + 832)
= -780 -316
= - 1096
Δy = [tex]\left[\begin{array}{ccc}-5&1&-4\\2&4&3\\6&-3&-2\end{array}\right][/tex]
= 40 + 24 + 18 - ( - 4 + 45 - 96)
= 82 + 55
= 137
Δz = [tex]\left[\begin{array}{ccc}-5&1&60\\2&4&-12\\6&-3&-52\end{array}\right][/tex]
= 1040 - 360 - 72 - ( - 104 - 180 + 1440)
= 608 - 1156
= -548
x = -1096/ 137 = -8
y = 137 / 137 = 1
z = -548 / 137 = -4