Rewrite the equation 4(2x-3y)=5(x+3y) so that y is a function of x.

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to open the brackets both sides such that:

`8x - 12y = 5x + 15y`

You need to isolate all terms in y to the left side and all terms in x to the right side such that:

`-12y - 15y = -8x + 5x`

`-27y = -3x`

Dividing by -27 both sides yields:

`y = (-3x)/-27 =gt y = x/9`

Hence, you should write y as a function of x such that: `y = f(x) = x/9.`

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

4(2x-3y)=5(x+3y)

Distribute the 4 and the 5

8x-12y = 5x+15y

Move the like terms to the same side:

-15y-12y=-8x+5x

combine the terms:

-27y=-3x

divide by -27 as we are trying to get y alone:

y=-3x/-27

both 3 and 27 share the common factor of 3 so divide both by 3

y= x/9

jysel | Student, Undergraduate | eNotes Newbie

Posted on

4(2x-3y)=5(x+3y)

Expanding, we get:

8x-12y=5x+15y

Shifting all the y's to the left and x's to the right, we get:

-15y-12y=-8x+5x

-27y=-3x

y=(-3/-27)x

y=(1/9)x