Dexter Stanton

2023-03-12

Does the equation $$ represent a direct variation and if so, identify the constant of variation?

repicotit48p

Beginner2023-03-13Added 3 answers

The constant of variation is $\frac{3}{5}$

I'll let you decide whether this is a good or bad thing.

Explanation:

We have: $3x+5y=0$

Subtract 3x from both sides

$3x-3x+5y=0-3x$

0+5y=-3x

$5y=-3x$

Divide both sides by 5

$\frac{5}{5}\times y=-\frac{3}{5}x$

But $\frac{5}{5}=1$

$y=-\frac{3}{5}x$

If you wish the x to be positive: multiply both sides by (-1)

$-y=+\frac{3}{5}x$

The constant of variation is $\frac{3}{5}$

I'll let you decide whether this is a good or bad thing.

Explanation:

We have: $3x+5y=0$

Subtract 3x from both sides

$3x-3x+5y=0-3x$

0+5y=-3x

$5y=-3x$

Divide both sides by 5

$\frac{5}{5}\times y=-\frac{3}{5}x$

But $\frac{5}{5}=1$

$y=-\frac{3}{5}x$

If you wish the x to be positive: multiply both sides by (-1)

$-y=+\frac{3}{5}x$

The constant of variation is $\frac{3}{5}$