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# A first number plus twice a second number is 10. Twice the first number plus the second totals 29. F

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**Staff member**

A first number plus twice a second number is 10. Twice the first number plus the second totals 29. Find the numbers.

Let the first number be x. Let the second number be y. We are given the following two equations:

- x + 2y = 10
- 2x + y = 29

We can solve this 3 ways using:

- Substitution
- Elimination
- Cramers Rule

Using any of the 3 methods, we get the same answers of

**(x, y) = (16, -3)**