How do you convert y=2x-3 in to standard form?

Answer 1

See a solution process below:

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
Because both of the coefficients and the constant are integers we can first subtract #color(red)(2x)# from each side of the equation to group the #x# and #y# variable on the left side of the equation while keeping the equation balanced:
#-color(red)(2x) + y = -color(red)(2x) + 2x - 3#
#-2x + y = 0 - 3#
#-2x + y = -3#
Now, we multiply each side of the equation by #color(red)(-1)# to convert the #x# coefficient to a positive coefficient while keeping the equation balanced:
#color(red)(-1)(-2x + y) = color(red)(-1) xx -3#
#(color(red)(-1) xx -2x) + (color(red)(-1) xx y) = 3#
#color(red)(2)x - color(blue)(1)y = color(green)(3)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To convert the equation (y = 2x - 3) into standard form, move all terms to one side to set the equation equal to zero:

[y - 2x + 3 = 0]

This is the standard form of a linear equation: (Ax + By + C = 0), where A, B, and C are constants. So, the equation in standard form is:

[2x - y + 3 = 0]

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7