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Question

Using Cramer's Rule solve for the values of x and y.

3x+5y=29

7x+3y=33

x =
y =

A
4
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B
3
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C
1
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D
2
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E
6
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Solution

The correct options are
A 4
B 3
3x+5y=29 -------------(1)

7x+3y=33-------------(2)

According to Cramer's Rule , we have,

D=3573=3×35×7
=935
=26

Dx=295333=29×35×33
=87165
=78

Dy=329733=3×337×29
=99203
=104

x=(Dx)D and y=(Dy)D

So,
x=(78)26=3

and

y=(104)26=4

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