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Question 0103a
Equations and Inequalities
System of Linear Equations
Question
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Solve the following system of linear equations, giving your answer in exact form.
2
x
+
2
y
−
3
z
=
−
2
−
x
−
4
y
+
5
z
=
6
−
4
x
+
5
y
+
z
=
3
\begin{align*} && \quad 2 x + 2 y - 3 z &= -2 \\ && \quad - x - 4 y + 5 z &= 6 \\ && \quad - 4 x + 5 y + z &= 3 \\ \end{align*}
2
x
+
2
y
−
3
z
−
x
−
4
y
+
5
z
−
4
x
+
5
y
+
z
=
−
2
=
6
=
3
Attempt
x
=
{x=}
x
=
y
=
{y=}
y
=
z
=
{z=}
z
=
Answer
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