`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).
See all solutions for this textbook.

2 Answers | Add Yours

taangerine's profile pic

taangerine | Student, Grade 12 | (Level 1) Valedictorian

Posted on

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's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

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

We’ve answered 318,931 questions. We can answer yours, too.

Ask a question