How do you write the equation in standard form 5y-1/3x=-8?

2 Answers
Apr 19, 2018

y=(24x+1)/5

Explanation:

(5y-1)/(3x)=8
(5y-1)=8(3x)
5y-1=24x
5y=24x+1
y=(24x+1)/5

The standard form for a linear equation is in the form y=x+b, therefore, we want to isolate y. To do this, first, we want to get rid of the denominator, which is done by multiplying both sides of the equation by 3x. The denominator would cancel out on the left side. Then add 1 to both sides of the equation to remove it from the left side. After isolating 5y, y can be isolated by dividing both sides by 5. This gives the answer, y=(24x+1)/5.

Apr 19, 2018

x-15y=24

Explanation:

"the equation of a line in "color(blue)"standard form" is.

color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))

"where A is a positive integer and B, C are integers"

"multiply all terms by "-3

rArr-15y+x=24

rArrx-15y=24larrcolor(red)"in standard form"