SOLUTION: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x = 3y = 1 5x + 3y = 16

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Question 103104: Solve each of the following systems by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
2x = 3y = 1
5x + 3y = 16
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given system of equations are:

2x - 3y = 1
5x + 3y = 16

To solve by adding, the equations can be written as:

7x = 17

+x+=+17%2F7+

By back substitution, we get:

2(17/7) - 3y = 1

34/7 - 3y = 1

34/7 - 1 = 3y

27/7 = 3y

9/7 = y


thus the values...


Hence the solution is unique