subject
Mathematics, 07.04.2021 04:10 ella3714

Ryan, Jesse, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. What is the correct answer? βˆ’
x
=
βˆ’
y
+
2

3
y
+
4
=
2
x

Ryan’s
I solved by adding the equations. The solution is
(
2
,
0
)
.

βˆ’
x
=
βˆ’
y
+
2

β†’

x
βˆ’
y
=
2

3
y
+
4
=
2
x

β†’

2
x
βˆ’
3
y
=
4

x
=
2

x
βˆ’
y
=
2

β†’

2
βˆ’
y
=
2

y
=
0

Jesse’s
I used matrices. The solution is
(
βˆ’
2
5
,
0
)
.

system determinant
=
[
βˆ’1 1 βˆ’2 3
]
=
βˆ’
3
βˆ’
2
=
βˆ’
5

x
-determinant
=
[
2 1 βˆ’4 3
]
=
6
βˆ’
4
=
2

y
-determinant
=
[
βˆ’1 2 βˆ’2 βˆ’4
]
=
4
βˆ’
4
=
0

x
=
βˆ’
2
5

y
=
0

Mark’s
I graphed the equations. The lines intersect at
(
βˆ’
10
,
βˆ’
8
)
, so the solution is
(
βˆ’
10
,
βˆ’
8
)
.

ansver
Answers: 1

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