Answer:
x equals the quantity negative B times y plus C all over A
Step-by-step explanation:
First I like to translate the words into the actual equations they represent...
- "equals" means use the =
- the phrase "the quantity of..." usually means parentheses are involved
- "negative" means -
- "times" means multiply. There usually isn't an actual multiplication sign. for example "3 times x" would be written as 3x
- plus means add (+)
- "all over ___" would mean that the first part is the numerator of a fraction and whatever is in the blank would be the denominator
so...
1. x = (-By + C) / A
2. x = (By + C) / A
3. x = (By - C) / A
4. x = (-By - C) / A
To solve:
starting equation is
Ax + By = C
so to get x by itself you first subtract By from both sides of the equation
Ax = -By + C
and then divide by A
x = (-By + C) / A
which matches the first answer
