The equation y = [tex]\frac{4}{5}[/tex] x - [tex]\frac{7}{10}[/tex] in standard form is 8x - 10y = 7
Step-by-step explanation:
The standard form of a linear function is Ax + By = C, where
∵ The equation is y = [tex]\frac{4}{5}[/tex] x - [tex]\frac{7}{10}[/tex]
- 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( [tex]\frac{4}{5}[/tex] ) x - 10( [tex]\frac{7}{10}[/tex] )
∴ 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 = [tex]\frac{4}{5}[/tex] x - [tex]\frac{7}{10}[/tex] 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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