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

1 Answer
Dec 23, 2017

Standard form:
#x = 6#

A = 1
B = 0
C = 6

Explanation:

Standard form is

#Ax + By = C#

#A# and #B# have to be whole numbers, and #A# has to be positive.

The coefficients have to be written in lowest terms so that they are relative primes.

It's okay for # B# or #C# to be #0#

#0.5x=3 #  Write in standard form

1) Multiply both sides by 2 to make A a whole number
#1 x = 6#

The B term has disappeared because B is zero

[#1 *x# ] + [#0*y#]   = [ 6 ]
[   x    ] + [   0   ]  = [ 6 ]

#x = 6#

Answer:

Standard form
#x = 6#

A = #1#
B = #0#
C = #6#