Can anyone please HELP, im confused!

Question

donnie1999 · Answer

attachment

donnie1999 · Answer

@pooja195 @zepdrix @Zale101 @AloneS

pooja195 · Answer

@UnkleRhaukus @zepdrix

donnie1999 · Answer

@Photon336 @AaronAndyson @A_Burning_Masquerade @Fifciol @SnuggieLad @ShadowLegendX

pythagoras123 · Answer

$$2x+3y=-17$$ 
$$3y = -2x-17$$
Multiply both sides by 6 to obtain 
$$18y = -12x - 102$$

mathstudent55 · Answer

Do you know what a coincidental system of equations is?

donnie1999 · Answer

@mathstudent55 no sadly

mathstudent55 · Answer

Ok.
A coincidental system of equations is a system in which both equations are the same equation.

For example, let's say you have this system of equations:

$x + y = 4$

$2x + 2y = 8$

If you divide both sides of the second equation by 2, you will get

$x + y = 4$ 

and you see that the second equation is the same as the first equation.

That means that in effect, you only have one equation.
The solutions to the system of equations are all the ordered pairs that satisfy the equation, so there is an infinite number of solutions. All the points on the line whose equation you were given are solutions.

mathstudent55 · Answer

In your case, you are told you have a coincidental system of equations.
That tells you that you have two equations that are really the same equation written in two forms, such as multiplying one equation by a number to get the other equation.

mathstudent55 · Answer

The first equation you are given fully: 2x + 3y = -17
For the second equation, all you know is that it has a -117 on the right side.
Also they want the second equation in the form y = mx + b

mathstudent55 · Answer

The first step here is to rewrite the given equation in the y = mx + b form.
Can you solve the given equation for y?

donnie1999 · Answer

yes I got y=(-2x/3)-(17/3)

mathstudent55 · Answer

Ok. Great.

$y = -\dfrac{2}{3}x - \dfrac{17}{3} $

Now you need the last number, $-\dfrac{17}{3} $ to become $-102$.

What do you multiply $-\dfrac{17}{3}$ by to get $-102$ ?

What is -102 divided by -17/3?

That is what you need to multiply the entire equation by to find the second equation.

donnie1999 · Answer

@mathstudent55 so when i divided it i got 18

donnie1999 · Answer

ohh ok so would the second equation start with 18y=___x -102?

mathstudent55 · Answer

Great.
18 is correct.
Now take the equation you solved for y, and multiply the entire equation  by 18.
You should end up with -102 on the right side as the constant term.

mathstudent55 · Answer

Yes, you got it now.

donnie1999 · Answer

thanks i got it now!!!:D

mathstudent55 · Answer

$\color{red}{18}y = \color{red}{(18)}(-\dfrac{2}{3}x) - \dfrac{17}{3}\color{red}{(18)}$

mathstudent55 · Answer

Great.
You're welcome.