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# A first number plus twice a second number is 3. Twice the first number plus the second totals 24.

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**Staff member**

A first number plus twice a second number is 3. Twice the first number plus the second totals 24.

Let the first number be x. Let the second number be y. We're given:

- x + 2y = 3 <-- Because
*twice* means multiply by 2
- 2x + y = 24 <-- Because
*twice* means multiply by 2

We have a system of equations. We can solve it any one of three ways:

No matter which way we choose, we get: