Question

Solve the equation
using cramers rule
3x-y-2=0; 2x + y = 8​

Answer 1

Answer:

Step-by-step explanation:

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 the 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