Answer:
y
=
4
Explanation:
First rearrange the two equations so
y
is a function of
x
:
x
+
y
=
8
→
y
=
8
−
x
[
1
]
x
−
2
y
=
−
4
→
y
=
1
2
x
+
2
[
2
]
Because these are straight lines, we only need to put in two values of
x
for each equation and then calculate the corresponding values of
y
.
[
1
]
x
=
−
2
,
x
=
6
y
=
8
−
(
−
2
)
=
10
y
=
8
−
(
6
)
=
2
So we have coordinates
(
−
2
,
10
)
and
(
6
,
2
)
[
2
]
=
−
4
,
x
=
6
y
=
1
2
(
−
4
)
+
2
=
0
y
=
1
2
(
6
)
+
2
=
5
So we have coordinates
(
−
4
,
0
)
and
(
6
,
5
)
We now plot each pair of coordinates and join them with a straight line.
Step-by-step explanation:
