Posted by Anonymous on .
How to solve the system of equations below using elimination?
b = 2a+1
10a+b=5b+2

algebra 
Anonymous,
This is the original problem, and I came up with the above equations. The answer is 37, but I can't see how.
"You can represent the value of any twodigit number with the expression 10a + b, where a is the tens' place digit and b is the ones' place digit. For example, if a is 5 and b is 7, then the value of the number is 10(5) + 7, or 57. What twodigit number is described below?
The ones' place digit is one more than twice the tens' place digit.
The value of the number is two more than five times the ones' place digit."