Question

Express x in terms of y for the linear equation 2/3X + 4Y = -7

Answer 1

`x=-6y-(21)/(2)`

Step-by-step explanation

We have

`(2)/(3)x +4y=-7`.

Expressing
`x` in terms of
`y` means we should rewrite the relation such that
`x` will remain on one side of the equation while
`y` and any other constant will be at the other side.

To make
`x` the subject, we add
`-4y` to both sides of the equation.

`(2)/(3)x =-4y-7`.

we now multiply the whole equation by the reciprocal of the coefficient of
`x`, which is
`(3)/(2)`.

This implies that;

`(3)/(2) * (2)/(3) x=(3)/(2) * (-4y)-(3)/(2) * 7`

This simplifies to;

`x=-6y-(21)/(2)`