How do you write #y=2x-3# in standard form?

1 Answer
smendyka
Mar 5, 2018

See a solution process below:

Explanation:

The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can solve the equation in the problem for the Standard Linear Form as:

#y = 2x - 3#

#y - color(red)y) + color(blue)(3) = 2x - color(red)y) - 3 + color(blue)(3)#

#0 + 3 = 2x - y - 0#

#3 = 2x - y#

#2x - y = 3#

#color(red)(2)x - color(blue)(1)y = color(green)(3)#

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