What is y=2x-3 in standard form?

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Answer 1 · 2016-05-24T10:34:24

#2x + y =-3#

Standard Form for writing down a Linear Equation is:

#color(red)"A"##x# + #color(blue)"B"##y# = #color(green)"C"#

#color(red)"A"# shouldn't be negative,#color(red)"A"# and #color(blue)"B"# shouldn't both be zero, and #color(red)"A"#, #color(blue)"B"# and #color(green)"C"# should be integers.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#y=2x-3# to standard form:

Bring 2x to the left side

-2x-y=3

Multiply all by -1

I#color(darkred)"Remember!"#
I
I#color(red)"A"# #color(darkblue)"mustn't be negative"#

#2x + y =-3#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Note:
#color(red)"A"##=2#
#color(blue)"B"##=1#
#color(green)"C"##=-3#