4/5 = -1/3x - 3/4y in standard form

Answer 1

Hi Cameron!

Want to write this in standard form, which

is Ax + By = C

What I would do first is get rid of the

fractions. Do this by multiplying both

sides by 60. 60 is divisible by 5, 3,

and 4. 60 divided by 5 is 12, 60 divided

by 3 is 20, and 60 divided by 4 is 15.

60*(4/5) = 60*(-1/3)x - 60*(3/4)y

12(4) = -20x - 15(3)y

48 = -20x - 45y (12*4=48, 15*3=45)

Multiply both sides by -1 to

reduce number of negatives.

-1*(48) = -1*(-20x) -1* (-45y)

-48 = 20x + 45y

So then, in Ax + By = C form we

have...

20x + 45y = -48

Some textbooks also call

Ax + By + C = 0 standard form.

Written in that way, you would

just move the -48 to the left side

by adding 48 to both sides.

20x + 45y = -48

+48 +48

--------------------------

20x +45y + 48 = 0

Answer 2