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What is y=4/5x + 2 written in standard form?

2 Answers

5 votes

Answer:

4x - 5y = -10

Explanation:

The standard form of a linear equation is

ax + by = c

Start with y = 4/5 x + 2.

Multiply both sides by 5 to get rid of the denominator.

5y = 4x + 10

Now subtract 5y from both sides.

0 = 4x - 5y + 10

Subtract 10 from both sides.

-10 = 4x - 5y

Switch sides.

4x - 5y = -10

User Birdcage
by
8.6k points
2 votes

Answer:


\sf 4x - 5y = -10

Explanation:

The standard form of a linear equation is usually written as:


\sf Ax + By = C

where
\sf A,
\sf B, and
\sf C are integers, and
\sf A is positive.

The given equation is
\sf y = (4)/(5)x + 2.

To write it in standard form, we can move all terms to one side of the equation and ensure that the coefficients
\sf A,
\sf B, and
\sf C are integers:


\sf -(4)/(5)x + y = 2

To eliminate the fraction, multiply through by 5 to clear the fraction:


\sf -4x + 5y = 10

Now, to make the coefficient of
\sf x positive, multiply through by -1:


\sf 4x - 5y = -10

So, the equation
\sf y = (4)/(5)x + 2 written in standard form is
\sf 4x - 5y = -10.

User Hyunmin Kim
by
8.0k points

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