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What is 1/2x-3y-4=0 written in standard form

2 Answers

3 votes

Answer:

x - 6y = 8

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given the equation


(1)/(2) x - 3y - 4 = 0 ( multiply through by 2 to clear the fraction )

x - 6y - 8 = 0 ( add 8 to both sides )

x - 6y = 8 ← in standard form

User Purepureluck
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9.0k points
2 votes

Final answer:

To write the equation 1/2x-3y-4=0 in standard form, multiply every term by the denominator to eliminate the fraction, rearrange the variables, and move the constant term to the right side of the equation.

Step-by-step explanation:

To write the equation 1/2x-3y-4=0 in standard form, we need to get rid of the fraction and rearrange the variables. Standard form for a linear equation is Ax + By = C, where A, B, and C are constants and A is positive.

First, let's multiply every term in the equation by the denominator of the fraction to eliminate it:

1(2x) - 1(3y) - 1(4) = 0

This simplifies to:

2x - 3y - 4 = 0

Now, let's move the 2x term to the left side of the equation by adding 2x to both sides:

2x + 2x - 3y - 4 = 0 + 2x

This simplifies to:

4x - 3y - 4 = 0

So, the equation 1/2x-3y-4=0 in standard form is 4x - 3y - 4 = 0.

User Mark Lyons
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