`.25x = .1 + .2y` Write each equation in standard form. Identify A, B and C

taangerine | Student

To add on to Wiggin42's answer (which is correct), I would like to take the time to explain the reason why this TA got this answer. 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. 

#1 explains why the B integer is negative rather than the A integer. A can never be negative. 

And, #3 explains the reason why the TA multiplied both sides of the equation by 20, they were not whole numbers. The original equation was written in decimal form. The TA found a common multiple that would eliminate the decimals (which was 20), and give us an integer. And, an integer is defined as a whole number. 

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

Wiggin42 | Student

Standard form is given by the formula: 

Ax + By = C 

where A, B, C are constant integers. 

Multiply by 20 to get:

5x = 2 + 4y

Rearrange to get:

5x - 4y = 2

Therefore, A = 5, B = -4, C = 2