Tomas wrote the equation #y=3x+3/4#. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas's equation. Which equation could be Sandra's?

1 Answer
Nov 6, 2016

Answer:

#4y = 12x +3#

#12x-4y +3 = 0#

Explanation:

An equation can be given in many forms and still mean the same.

#y = 3x+3/4" "# (known as the slope/intercept form.)

Multiplied by 4 to remove the fraction gives:

#4y = 12x +3 " "rarr 12x-4y = -3" "# (standard form)

#12x-4y +3 = 0" "# (general form)

These are all in the simplest form, but we could also have infinitely variations of them.

#4y = 12x+3 # could be written as:

#8y = 24x +6" " 12y = 36x +9, " " 20y = 60x +15# etc