SOLUTION: use cramers rule or to determine that the system is inconsistent or contains dependent equations: y=-4x+2 2x=3y+8

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: use cramers rule or to determine that the system is inconsistent or contains dependent equations: y=-4x+2 2x=3y+8      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 152215: use cramers rule or to determine that the system is inconsistent or contains dependent equations:
y=-4x+2
2x=3y+8
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Put the equations in consistent form:
4x+y=2
2x-3y=8
This gives us a 2x2 system with matrix
4 1 2
2 -3 8
So by Cramer's rule,
x=
2 1
8 -3
----
4 1
2 -3
and
y=
4 2
2 8
----
4 1
2 -3
So, x= (-6-8)/(-12-2)=1
and y= (32-4)/(-14)=-2
Thus we have a unique solution.