Question

3x+5=2y; 15-6y=(-9)x
solving this equation by Cramer's rule is the answer: x=-22 and y=1?

Answer 1

Answer:

Given linear equations are 3x+2y=1,2x−3y=5

Using Cramers rule, find the determinant of the coefficient

matrix,

D=  

∣

∣

∣

∣

∣

∣

​

 

3

2

​

 

2

−3

​

 

∣

∣

∣

∣

∣

∣

​

=3×−3−(2×2) $= -9 - 4$$ =−13

Secondly, find the determinant of x coefficient matrix,

D  

x

​

=  

∣

∣

∣

∣

∣

∣

​

 

1

5

​

 

2

−3

​

 

∣

∣

∣

∣

∣

∣

​

=1×−3−(5×2) =−3−10=−13

Similarly, find the determinant of y coefficient matrix,

D  

y

​

=  

∣

∣

∣

∣

∣

∣

​

 

3

2

​

 

1

5

​

 

∣

∣

∣

∣

∣

∣

​

=3×5−(2×1) =15−2=13

Applying Cramer's rule,  

x=  

D

D  

x

​

 

​

 

∴x=  

−13

−13

​

=1

y=  

D

D  

y

​

 

​

 

∴y=  

−13

13

​

=−1

Therefore, x=1,y=−1

Step-by-step explanation: