SOLUTION: Solve 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

Question 91964: Solve 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 mathispowerful(115) (Show Source): You can put this solution on YOUR website!
2x +3y = 1
5x +3y =16
multiply the first equation by -1
-2x - 3y = -1
add to second equation:
we get 3x = 15
so x = 5
substitute x in the first equation with 5 to solve for y

10 + 3y = 1
solve this one variable equation
y = -3
so the answer is x = 5
y = -3
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