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Question

Solve the following simultaneous equations using Cramer's rule.
3x+2y+11=0;7x−4y=9

A
x=1,y=4
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B
x=1,y=6
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C
x=1,y=9
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D
x=1,y=3
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Solution

The correct option is D x=1,y=4
Given equations are 3x+2y+11=0 and 7x4y=9

3x+2y=11 and 7x4y=9

By Cramer's rule,

D=3274=1214=26

Dx=11294=4418=26

Dy=31179=27+77=104

Now, x=DxD=2626=1

y=DyD=10426=4

Hence, x=1,y=4.

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