Solve the following system by using graph paper or graphing technology.

3x - 2y = 7
9x - 6y = 3

What is the solution to the system?

a)No Solutions
b)Infinite Solutions
c)(3, 2)
d)(3, -2)

Question

Solve the following system by using graph paper or graphing technology. 

3x - 2y = 7 
9x - 6y = 3 

What is the solution to the system?
 	
a)No Solutions
b)Infinite Solutions
c)(3, 2)
d)(3, -2)

anonymous · Answer

as the question stated, draw a graph. It will help

anonymous · Answer

I tried to turn the given equations into slope intercept form and got y= 3/2x - 7/2 for the first equation so i'm confused as to what the y-intercept is?

anonymous · Answer

the y-intercept would be -7/2 for the first equation then

anonymous · Answer

thank you but how do I graph -7/2?

anonymous · Answer

that is the y-intercept. Substitute a x coordinate into the equation and you get another point, which will help you to be able to draw the graph

anonymous · Answer

Okay thank you :) but do you know if it's a b c or d?

anonymous · Answer

what's the decimal equivalent to -7/2....???

anonymous · Answer

1.75

anonymous · Answer

-1.75?

anonymous · Answer

no... -7/2 $\ne $ -1.75

anonymous · Answer

oh sorry -3.5

anonymous · Answer

ok... so that's the y-intercept for the first equation...

what's the y-intercept for the second equation?

anonymous · Answer

-3.5 and 1.5?

anonymous · Answer

the second equation should only have 1 y-intercept.... what is it?  and how did you get it?  (show me, like u did for the first equation.)

anonymous · Answer

For the second equation 9x-6y = 3, I put it in slope intercept form so that makes it 3/2x - 1/2 and 1/2 in decimal form is 1.5...that's what I did

anonymous · Answer

1/2 in decimal form is not  1.5

anonymous · Answer

0.5

anonymous · Answer

ok...
so the y-intercept for the second equation is -1/2 or -0.5, agree?

anonymous · Answer

yes agreed!

anonymous · Answer

look at the slopes of each equation... what are they?

anonymous · Answer

I think the first one is -1/3x and the second is 3/2

anonymous · Answer

look at the second post of this question... you posted the correct equation with the correct slope...

anonymous · Answer

ah sorry i am disorganized right now but okay, so both of the slopes are 3/2 correct? so that means the lines are parallel and the answer is a) no sloution?

anonymous · Answer

if they're parallel, then it could mean that they are

same line ---> infinite solutions          OR
different line ____> no solution

how do you know they're different lines?

anonymous · Answer

because different slopes

anonymous · Answer

but they have the same slope... slope is 3/2 for both....

anonymous · Answer

i mean y-intercepts

anonymous · Answer

so answer is a?

anonymous · Answer

right....:)

anonymous · Answer

THANK YOU! :D

anonymous · Answer

yw...:)