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

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Question 82041: Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistaent or dependent:
2x+3y=1
5x+3y=16

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Linear Systems by Addition
We'll solve the system:


by elimination by addition.To eliminate by addition, we need to set both coefficients of x to numbers with changed signs, i.e a and -a. Since in the second equation we have 5 as our coefficient for x, to get -2 we have to multiply all terms of the second equation by which is equal to -0.4.

Multiplying, we get on our second equation:


Adding both equations we get:



Since 2 and -2 cancel out, we have a linear equation:Therefore, we know that y = -3.

Plugging that in into the first equation gives us:









Therefore, our answer is:


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