Question

If B is the midpoint of AC AB = 3x + 7y BC = 5x + 4y Solve for y in terms of x.

Answer 1

y =
`(2)/(3)` x

Explanation:

given B is the midpoint of AC , then

AB = BC ( substitute values into the equation )

3x + 7y = 5x + 4y

collect terms in y on the left side and terms in x on the right side

subtract 4y from both sides

3x + 7y - 4y = 5x + 4y - 4y ( simplify both sides )

3x + 3y = 5x ( subtract 3x from both sides )

3x - 3x + 3y = 5x - 3x ( simplify both sides )

3y = 2x ( divide both sides by 3 )

`(3)/(3)` y =
`(2)/(3)` x , that is

y =
`(2)/(3)` x