Answer:
The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.
The solution is the point
(
−
6
,
−
11
)
Explanation:
We solve the set of two equations as simultaneous equations.
Call this Equation 1:
y
=
2
x
+
1
Call this Equation 2:
y
=
x
−
5
Rearrange Equation 2 to make
x
the subject:
x
=
y
+
5
Substitute this value of
x
into Equation 1:
y
=
2
(
y
+
5
)
+
1
=
2
y
+
10
+
1
=
2
y
+
11
Rearranging:
−
y
=
11
y
=
−
11
We can substitute this into either equation to find the value of
x
:
x
=
−
6
That means the intersection of the lines is at the point
(
−
6
,
−
11
)
.
Step-by-step explanation:
