Write the matrix equation for this system and use it to solve the system.
{
−
4
x
+
2
y
+
4
z
+
4
w
=
−
22
−
16
x
+
7
y
+
4
z
+
16
w
=
−
49
8
x
−
4
y
−
2
z
−
8
w
=
26
8
x
−
4
y
−
8
z
−
6
w
=
46
\displaystyle {\left\lbrace\begin{array}{ccccccccc} -{4}{x}&+&{2}{y}&+&{4}{z}&+&{4}{w}&=&-{22}\\-{16}{x}&+&{7}{y}&+&{4}{z}&+&{16}{w}&=&-{49}\\{8}{x}&-&{4}{y}&-&{2}{z}&-&{8}{w}&=&{26}\\{8}{x}&-&{4}{y}&-&{8}{z}&-&{6}{w}&=&{46}\end{array}\right.}
⎩
⎨
⎧
−
4
x
−
16
x
8
x
8
x
+
+
−
−
2
y
7
y
4
y
4
y
+
+
−
−
4
z
4
z
2
z
8
z
+
+
−
−
4
w
16
w
8
w
6
w
=
=
=
=
−
22
−
49
26
46
x =
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Question 6 Part 1 of 4
y =
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Question 6 Part 2 of 4
z =
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w =
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\displaystyle