How do you write $-9 + 8x = 10y$ in standard form?

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How do you write $-9 + 8x = 10y$ in standard form?

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Answer 1 · 2017-07-31T17:16:51

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

First, add $color(red)(9)$ to each side of the equation to move the constant to the right side of the equation as required by the formula while keeping the equation balanced:

$color(red)(9) - 9 + 8x = color(red)(9) + 10y$

$0 + 8x = 9 + 10y$

$8x = 9 + 10y$

Now, subtract $color(red)(10y)$ from each side of the equation to put the equation in Standard Linear form while keeping the equation balanced:

$8x - color(red)(10y) = 9 + 10y - color(red)(10y)$

$8x - 10y = 9 + 0$

$color(red)(8)x - color(blue)(10)y = color(green)(9)$

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How do you write $-9 + 8x = 10y$ in standard form?

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How do you write -9 + 8x = 10y-9 + 8x = 10y in standard form?

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Explanation:

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How do you write $-9 + 8x = 10y$ in standard form?