Question

Write the equation y = 4/5x - 7/10 in standard form. (Standard form is Ax+By = C, where A is positive, and A, B, and C are integers with greatest common divisor 1.)

Answer 1

The equation y = $\frac{4}{5}$ x - $\frac{7}{10}$ in standard form is 8x - 10y = 7

Step-by-step explanation:

The standard form of a linear function is Ax + By = C, where

• A is positive
• A, B, and C are integers with greatest common divisor 1

∵ The equation is y = $\frac{4}{5}$ x - $\frac{7}{10}$

- At first multiply the terms of the equations by the least common

  multiple of 5 and 10 to cancel the denominators of the fractions

∵ The least common multiple of 5 and 10 is 10

- Multiply all the terms of the equations by 10

∵ 10(y) = 10( $\frac{4}{5}$ ) x - 10( $\frac{7}{10}$ )

∴ 10y = 8x - 7

- Subtract 8x from both sides

∴ 10y - 8x = -7

- Multiply each term by -1 to make the coefficient of x positive

∴ -10y + 8x = 7

- Start with x

∴ 8x - 10y = 7 ⇒ (the greatest common divisor of 8 , 10 , 7 is 1)

The equation y = $\frac{4}{5}$ x - $\frac{7}{10}$ in standard form is 8x - 10y = 7

Learn more:

You can learn more about the linear equations in brainly.com/question/9801816

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