Question

How do you write $ 0.5x = 3 $ in standard form and what is A, B, C?

Answer 1

Hint: First of we will take the given expression and we will compare it with the standard equation $ Ax + By = C $ Where A, B and C are the real numbers and then accordingly we will find the values for A, B and C also we will convert the given expression in the form of standard form.

Complete step-by-step answer:
Take the given expression: $ 0.5x = 3 $
The above equation can be re-written as:
 $ 0.5x + 0 = 3 $
(Since zero multiplied with anything is always equal to zero)
We can rewrite as-
 $ 0.5x + 0(y) = 3 $ … this is the standard form of the given equation.
 (Since zero multiplied with anything is always equal to zero)
Compare with the standard form of the equation: $ Ax + By = C $
The above given equation implies –
 $
  A = 0.5 \\
  B = 0 \\
  C = 3 \;
  $
This is the required solution.
So, the correct answer is “A=0.5, B=0 and c=3”.

Note: Always remember the standard form of the linear equation, since it is the base of the solution. Be good in basic mathematical concepts, such as zero multiplied with anything gives us always zero and when one multiplied with any number gives the original number itself.
Remember the difference between the two most commonly used concepts in mathematics, the variables and the constant. Any equation contains the variables and the constants. Variables are the terms expressed using the small alphabets such as x, y, z, … whereas the constants are terms expressed using the mathematical numbers such as $ 1,2,3,.... $ Variables do not have any fixed value whereas constants are the terms with fixed values.