Ax +By = C is standard form...A,B,C are NOT FRACTIONS OR DECIMALS
2.5x/3 -.3/3 = 1/6 y
first lets fix up .3/3 that = .1
and 2.5x/3 = 25x/30= 5x/6....don't put as decimal because it's repeating
so 5x/6 -.1 = 1/6y
now lets get rid of the fraction....multiply every term by 6
6*5x/6 -6*.1 = 6*1/6y
5x - .6 = y
now lets get rid of the decimal by multiplying every term by 10
10*5x -10*.6 = 10*y
50x -6 = 10y
now lets put the x and y on one side and the constant on the other side
usually ax is preferred to be positive so I am going to move the 10y and the -6 by subtracting 10y from both sides and adding 6 to both sides
50x -6 = 10 y
........+6...........+6
50x ............= 10y +6
........-10y........-10y
50x -10y = 6
finally in standard form
so A=50 , B= -10 and C= 6
There are other orders you could have taken but this way definately works.....
2.5x - .3 /3 =1/6 y write this equation in standard form identify a, b, and c?
7.5x -0.3 = 0.5y
75x - 5y =3
a= 75.
b=5
c=3
Reply:I think you mean (2.5 x - .3)/3 = 1/6 y...
so mulitply the equation by 3...
2.5 x -.3 = 1/2y
then convert to... (subtract each side by 1/2 y and add .3 to each side)
standard form: 2.5x -1/2y = .3
a= 2.5
b= -1/2
c= .3
Hope this helps.
gifts
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