Question

Write parametric equations of the line with the equation 3x + 2y = 5.

Answer 1

Answer:

$x=t, y=2.5-1.5t$

Step-by-step explanation:

To find the parametric equation, we need to introduce a third variable called a parameter.

The given line has equation: 3x+2y=5

We solve for y to get:

$2y = 5 - 3x$

$y = 2.5 - 1.5x$

Let t be the parameter.

If we let x=t, then

$y = 2.5 - 1.5t$

Therefore the parametric equation of the given line is

$x=t, y=2.5-1.5t$

Answer 2

Answer:

a. x = t, y = -$\frac{3}{2}t$ + $\frac{5}{2}$

Step-by-step explanation:

The answer is a. x = t, y = -3/2t + 5/2