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

Algebra ->  Graphs -> SOLUTION: Solve the following systems by addition. If a unique soution does not exist, state whether the system is inconsistent or dependent. {{{2x + 3y = 1}}} {{{5x + 3y = 16}}} The       Log On


   

Question 71008: Solve the following systems by addition. If a unique soution does not exist, state whether the system is inconsistent or dependent.
2x+%2B+3y+=+1
5x+%2B+3y+=+16
The idea is to multiply a row by something so that when it's added to the other row a variable is eliminated. In this case, multiply the top row by -5 and the bottom row by 2.
-5%282x%2B3y%29=-5%281%29
2%285x%2B3y%29=2%2816%29
-10x-15y=-5
10x%2B+6y=32
Add and eliminate x:
-9y=27
y=-3+and+x=5
Answer by galactus(183) About Me  (Show Source):