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

Dec 23, 2017

Standard form:
$x = 6$

A = 1
B = 0
C = 6

#### Explanation:

Standard form is

$A x + B y = C$

$A$ 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 $0$

$0.5 x = 3$  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

[$1 \cdot x$ ] + [$0 \cdot y$]   = [ 6 ]
[   x    ] + [   0   ]  = [ 6 ]

$x = 6$

$x = 6$
A = $1$
B = $0$
C = $6$