Use Cramers Rule to solve the system
2x - 3y = 11
-6x + 8y = 34

(x , y ) = ( -95, -67)

Step-by-step explanation:

Given system :-

2x - 3y = 11

-6x + 8y = 34

Find :- Solutions of system by using Cramers rule.

Solution :-

To solve the system using Cramer's rule, list all needed determinants.

D = 8 × 2 - ( -3) ( -6 )

= 16 - 18 = -2

= 11 × 8 - ( -3 ) ( 34 )

= 88 + 102 = 190

= 2 × 34 - ( 11 ) ( -6 )

= 68 + 66 = 134

Plug the value into the formula:-

x = , y = .

Divide

x = -95 , y = -67

(x , y ) = ( -95, -67)

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