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

Algebra ->  Graphs -> 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       Log On


   

Question 63063This question is from textbook
: 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
 This question is from textbook

Answer by 303795(602) About Me  (Show Source):
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Equation 1 : 2x + 3y = 1
Equation 2 : 5x + 3y = 16
Subtract equation 1 from equation 2 to obtain
3x=15 Divide both sides by 5 to get
x = 5
Substitute x=5 into the first equation
2*5 + 3y = 1
10 + 3y = 1 Subtract 10 from each side of the equation
10 + 3y - 10 = 1 - 10
3y = -9 Divide each side by 3
y = -3