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Question #141640
Solve each system by elimination. Indicate the POI.
A. -x - 2y = -1
B. x + 3y = -2
Expert's answer
−
x
−
2
y
=
−
1
x
+
3
y
=
−
2
\begin{matrix} -x-2y=-1 \\ x+3y=-2 \end{matrix}
−
x
−
2
y
=
−
1
x
+
3
y
=
−
2
x
=
−
2
y
+
1
−
2
y
+
1
+
3
y
=
−
2
\begin{matrix} x=-2y+1 \\ -2y+1+3y=-2 \end{matrix}
x
=
−
2
y
+
1
−
2
y
+
1
+
3
y
=
−
2
x
=
−
2
y
+
1
y
=
−
3
\begin{matrix} x=-2y+1 \\ y=-3 \end{matrix}
x
=
−
2
y
+
1
y
=
−
3
x
=
−
2
(
−
3
)
+
1
y
=
−
3
\begin{matrix} x=-2(-3)+1 \\ y=-3 \end{matrix}
x
=
−
2
(
−
3
)
+
1
y
=
−
3
x
=
7
y
=
−
3
\begin{matrix} x=7 \\ y=-3 \end{matrix}
x
=
7
y
=
−
3
Point of intersection
(
7
,
−
3
)
.
(7, -3).
(
7
,
−
3
)
.
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