SOLUTION: Complete the ordered pair so it is a solution of the equation: (-1/2,__) 3x –5y= 7. I have attempted this and I got 17/13, but that does not seem plausible. I would really appr

Algebra ->  Linear-equations -> SOLUTION: Complete the ordered pair so it is a solution of the equation: (-1/2,__) 3x –5y= 7. I have attempted this and I got 17/13, but that does not seem plausible. I would really appr      Log On


   

Question 1094731: Complete the ordered pair so it is a solution of the equation: (-1/2,__)
3x –5y= 7.
I have attempted this and I got 17/13, but that does not seem plausible. I would really appreciate your help.
Thank you.
Found 2 solutions by MathTherapy, KMST:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the ordered pair so it is a solution of the equation: (-1/2,__)
3x –5y= 7.
I have attempted this and I got 17/13, but that does not seem plausible. I would really appreciate your help.
Thank you.
3x - 5y = 7

3%28-+1%2F2%29+-+5y+=+7 ------- Substituting +-+1%2F2 for x

- 1.5 - 5y = 7 -------- Converting matrix%281%2C3%2C+-+1%2F2%2C+to%2C+-+.5%29, and multiplying by 3

- 5y = 7 + 1.5

- 5y = 8.5



Ordered pair: 

You could also leave the y-coordinate in fraction-form.



I cringe when I see stuff like what the other person did.

Why do these people who claim to be helping or who consider themselves tutors make these problems so, so COMPLEX? Good Lord!!

If you get to here: 3%28-+1%2F2%29+-+5y+=+7 ------- Substituting +-+1%2F2 for x

-+3%2F2+-+5y+=+7

All you have to do to get rid of the fractions is MULTIPLY by the LCD, 2 to get: - 3 - 10y = 14

- 10y = 17



That's all, and you're done!!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You have x=-1%2F2 .
Substituting, you get
3%28-1%2F2%29-5y=7
Simplifying and solving,
-3%2F2-5y=7
-3%2F2-5y-7%2B5y=7-7%2B5y
-3%2F2-7=5y
-3%2F2-14%2F2=5y
-17%2F2=5y
%281%2F5%29%2A%28-17%2F2%29=%281%2F5%29%2A5%2Ay
-17%2F10=1%2Ay .
So, y=highlight%28-17%2F10=-1.7%29 is the answer.
-17%2F10 goes better with 1%2F2 , both as fractions,
but if you are allergic to fractions,
you could have started with x=0.5 and ended with y=-1.7 .
I have no idea where you got a 13 in the denominator.
You may be trying to follow a misremembered procedure,
but memorizing calculation procedures is the wrong way to learn math.
It is better to understand what the procedure means.