SOLUTION: The system of equations 2/3x +1/2y = 2 and 4x +3y = 12 is: a. non-linear b. inconsistent c. dependent d. consistent

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Question 202932: The system of equations 2/3x +1/2y = 2 and 4x +3y = 12 is:
a. non-linear
b. inconsistent
c. dependent
d. consistent
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
System of equations:
1) %282%2F3%29x%2B%281%2F2%29y+=+2
2) highlight_green%284x%2B3y+=+12%29
Multiply equation 1) by 6 to get:
1a) highlight_green%284x%2B3y+=+12%29
As you can see, the two given equations are identical, so...
The system is a consistent system since there is at least one solution and the equations are said to be dependent equations.