Solve the following simultaneous equations by Cramer's method.

`x+y=7,2x-3y=9`

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#### Solution

x + y = 7

2x - 3y = 9

∴ `a_1=1, b_1=, c_1=7 and a_2=2, b_2=-3, c_2=9`

Now, D= `|[a_1,b_1],[a_2,b_2]|`=` |[1 ,1],[2,-3]|` =`-3-2=-5`

Dx=`|[c_1,b_1],[c_2 ,b_2]|=|[7,1],[9,-3]|=-21-9=-30`

Dy=`|[a_1,c_1],[a_2,c_2]|=|[1,2],[2,9]|=9-14=-5`

∴` x=(Dx)/D=-30/-5=6 and y=(Dy)/D=-5/-5=1`

Is there an error in this question or solution?

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