Question

Question #41a5a

Answer 1

`x/(3/5) + y/(3/2) = 1`

Explanation:

`5 x + 2 y =3`

divide with 3,

`5/3 x + 2/3 y = 1`

rearrange the equation,
`x/(3/5) + y/(3/2) = 1`

therefore this equation intercept at `3/5` at x-axis and `3/2` at y-axis respectively

Answer 2

`y=-5/2x+3/2`

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

`"Rearrange "5x+2y=3" into this form"`

subtract 5x from both sides.

`cancel(5x)cancel(-5x)+2y=-5x+3`

`rArr2y=-5x+3`

divide ALL terms on both sides by 2

`(cancel(2) y)/cancel(2)=-5/2x+3/2`

`rArry=-5/2x+3/2larrcolor(red)" in slope-intercept form"`