If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

Question

mathslover · Answer

ok so first of all : 
$$\large{5x+2y=6}$$
$$\large{5x=6-2y}$$
$$\large{x=\frac{6-2y}{5}}$$ 

right?

mathslover · Answer

@jordan1919 please reply

anonymous · Answer

ohh yea ok

mathslover · Answer

now put this value in the equation 3x-ay=4

anonymous · Answer

it doesn't need to be solved i need to figure out hot to determine if they are parallel or not.

mathslover · Answer

oh sorry

anonymous · Answer

no its fine.

mathslover · Answer

why not to find x intercept and y intercepts first?

anonymous · Answer

idk y the question is jus if it is parallel true or false i can't really understand what it's asking.

mathslover · Answer

ok let us try to first find x intercept what do you get?

anonymous · Answer

Firstly put a = -12/5 in the equation..

and then solve the equation..

anonymous · Answer

$$3x - \frac{-12}{5}y = 4 \implies 15x + 12y = 20$$

anonymous · Answer

You other equation is :

$$5x + 2y = 6$$

anonymous · Answer

Find their slopes if they are equal then lines must be parallel..

For first one:

Slope = $\frac{-x \; coefficient}{y \; \; colefficient} = \frac{-15}{12} = \frac{-5}{4}$

anonymous · Answer

For second one:

Slope : $\frac{-5}{2}$

As they are not equal so the line equations are not parallel..

anonymous · Answer

ohh thank for explaining like that it made it very easy to understand.