Question

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

Answer 1

ANSWER

$x=-6y-\frac{21}{2}$

EXPLANATION

We have

$\frac{2}{3}x +4y=-7$.

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.

$\frac{2}{3}x =-4y-7$.

we now multiply the whole equation by the reciprocal of the coefficient of $x$, which is $\frac{3}{2}$.

This implies that;

$\frac{3}{2} \times \frac{2}{3} x=\frac{3}{2} \times (-4y)-\frac{3}{2} \times 7$

This simplifies to;

$x=-6y-\frac{21}{2}$