# `1/2 x + 1/2 y = 6` Write each equation in standard form. Identify A, B and C

### Textbook Question

Chapter 2, 2.2 - Problem 33 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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taangerine | Student, Grade 12 | (Level 1) Valedictorian

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To add on to Wiggin42's answer (which is correct), I would like to take the time to explain the reason why this TA multiplied 2 on both sides of the equation. Wiggin42 multiplied 2 on both sides because in addition to the the given standard form formula:

Ax+By=C

There are also 3 rules that should be followed accordingly:

1. A shouldn't be negative.

2. A and B shouldn't both be zero.

3. And, A, B, and C should be integers.

#3 explains this reason. Because, before the problem was multiplied by 2, there was fractions. And, an integer is defined as a whole number.

Examples of an integer would be -2, -1, 0, 1, 2, etc.

Sources:

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

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Standard form is given by the formula:

Ax + By = C

where A, B, C are constants.

Multiply by 2 to get:

x + y = 12

Therefore, A = 1, B = 1, C = 12