SOLUTION: when two numbers are added together, the result is 45. twice the greater number is six more than five times the lesser number

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Question 234371: when two numbers are added together, the result is 45. twice the greater number is six more than five times the lesser number
Answer by mando271(42) About Me  (Show Source):
You can put this solution on YOUR website!
we'll let the numbers be x and y with x being the lesser
x+y=45
2y=5x+6
now we'll use substitution method to solve. I'll use the 1st equation to solve for y.
x+y=45
y=45-x
now plug this into the 2nd equation
2(45-x)=5x+6
90-2x=5x+6
-7x=-84
x=12
now plug this into our 1st solution to find y
y=45-12
y=33
so, x=12 and y=33