Use Cramer's rule to solve the following system of equations. If D = 0, use another method to solve the system. 2x + 3y = 4 4x - 6y = 8

Yasmin 2020-11-30 Answered
Use Cramers
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Expert Answer

diskusje5
Answered 2020-12-01 Author has 82 answers
Step 1
Given: The system of equations is
2x+3y=4
4x-6y=8
Step 2
Solution:
Obtain the value of D as follows.
D|2346|
=2(-6)-(3)(4)
=-12-12
=240
As D is not equal to zero, the unique solution exists.
Step 3
Obtain the value of D1 as follows.
D1=|4386|
=(4)(-6)-3(8)
=-24-24
=-48
Step 4
Obtain the value of D2 as follows.
D2=|2448|
=2(8)-(4)(4)
=16-16
=0
Step 5
Thus, the value of x and y by Cramer’s rule becomes
x=D1D=4824=2
y=D2D=024=0
Step 6
Therefore, the solution of the system of equations is
x=2 and y =0
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Jeffrey Jordon
Answered 2021-11-11 Author has 2262 answers

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