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

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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)   (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
------- Substituting for x
- 1.5 - 5y = 7 -------- Converting , 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: ------- Substituting for x

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)   (Show Source): You can put this solution on YOUR website!
You have .
Substituting, you get

Simplifying and solving,






.
So, is the answer.
goes better with , both as fractions,
but if you are allergic to fractions,
you could have started with and ended with .
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.

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