Respuesta :
Answer:
15x-5y=1
Step-by-step explanation:
y=3x−15
The standard form of a linear equation is Ax+By=C.
Multiply both sides by 5.
5y=5(3x−15)
Simplify 5(3x−15).
5y=15x−1
Rewrite the equation with the sides flipped.
15x−1=5y
Move all terms containing variables to the left side of the equation.
15x−5y−1=0
Add 1 to both sides of the equation.
15x−5y=1
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The equation that shows y=3x−1/5 in standard form is:
15x - 5y = 1
The given equation is:
[tex]y = 3x -\frac{1}{5}[/tex]
The given equation is of the form y = mx + b which is called the slope-intercept form of the line equation
where m represents the slope
and c represents the y-intercept
The standard form of the equation of a line is:
Ax + By = C
Multiply the equation [tex]y = 3x -\frac{1}{5}[/tex] through by 5
5y = 5(3x) - 5(1/5)
5y = 15x - 1
By rearranging the equation above, the resulting equation becomes:
15x - 5y = 1
Therefore, the equation that shows y=3x−1/5 in standard form is:
15x - 5y = 1
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