SOLUTION: Solve the system. x-2y=3 5x-y=6

Algebra.Com
Question 886615: Solve the system.
x-2y=3
5x-y=6

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
x -2y = 3
5x -y = 6
solve second equation for y
y = 5x -6
substitute for y in first equation
x -2*(5x-6) = 3
x -10x +12 = 3
-9x = -9
x = 1
substitute for x in second equation
5*1 -y = 6
-y = 1
y = -1
our solution is x = 1 and y = -1
check answer by substituting in both given equations
1 -2(-1) = 3
3 = 3
5*1 -(-1) = 6
6 = 6
our answer checks

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