# algebra

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How to solve the system of equations below using elimination?

b = 2a+1

10a+b=5b+2

• algebra -

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 two-digit 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 two-digit 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."

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