solve the following by cramer rule 3x+2y=3 and 6x+5y=1
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Algebra Examples
Popular Problems Algebra Solve Using a Matrix with Cramer's Rule 3x+2y=2 , 6x+5y=1
3
x
+
2
y
=
2
,
6
x
+
5
y
=
1
Represent the system of equations in matrix format.
[
3
2
6
5
]
[
x
y
]
=
[
2
1
]
The determinant of
[
3
2
6
5
]
is
3
.
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D
=
3
The determinant of
[
2
2
1
5
]
is
8
.
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D
x
=
8
The determinant of
[
3
2
6
1
]
is
−
9
.
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D
y
=
−
9
Remove the extra parentheses from the expression
8
3
.
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x
=
8
3
Find the value of
y
by Cramer's Rule, which states that
y
=
D
y
D
. In this case,
y
=
−
9
3
.
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y
=
−
3
The solution to the system of equations using Cramer's Rule.
x
=
8
3
,
y
=
−
3
Step-by-step explanation:
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