anonymous
  • anonymous
CHECK ATTACHMENT PLEASE
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
mathstudent55
  • mathstudent55
Let's write our 2 original equations. \(x + 3y = 5\) Eq. 1 \(7x - 8y = 6\) Eq. 2
mathstudent55
  • mathstudent55
The problem is asking for a new system of equations which is obtained by keeping equation 2 unchanged, and equation 1 is replaced by the sum of equation 1 and a multiple of equation 2. The new system of equations will be: \(x + 3y = 5\) Eq. 1 kept unchanged \(\_\_\_\_\_\_\_\_\_\_\) A new equation replacing Eq. 2

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mathstudent55
  • mathstudent55
Now we need to read in the problem what the new equation that replaces equation 2 is. "If equation 2 is multiplied by 1, ..." We are told that equation 2 is multiplied by 1. We already were told that we needed to add a multiple of equation 2 to equation 1. Now we know that the multiple of equation 2 is obtained by multiplying equation 2 by 1. What is equation 2 (below) multiplied by 1 on both sides? \(7x - 8y = 6\) Eq. 2
anonymous
  • anonymous
can you try it out? :) we can't do it for u
mathstudent55
  • mathstudent55
@dom4958 Are you there?
anonymous
  • anonymous
@mathstudent55 yes
anonymous
  • anonymous
@dom4958 then try it out
anonymous
  • anonymous
well if I'm multiplying equation 2 by 1 it would still be the same wouldn't it? or would the - sign change next to 8y?
mathstudent55
  • mathstudent55
Ok. What is any number multiplied by 1? What is 2 * 1 = 3 * 1 = pi * 1 = What does multiplying by 1 do to a number?
anonymous
  • anonymous
@mathstudent55 nothing. it stays the same
mathstudent55
  • mathstudent55
Exactly. Multiplying by 1 does not change a number, so multiplying a whole equation by 1 does not change the equation.
mathstudent55
  • mathstudent55
That means when we multiply the second equation by 1, we end up with the second equation, just as it was originally.
mathstudent55
  • mathstudent55
\(7x - 8y = 6\) Eq. 2 multiplied by 1
mathstudent55
  • mathstudent55
Now we add Eq. 1 to Eq. 2 multiplied by 1: \(~~~~~~~~x + 3y = 5\) Eq. 1 \(+~~~7x - 8y = 6\) Eq. 2 multiplied by 1 \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)
mathstudent55
  • mathstudent55
Do you know how to add the equations in the response above?
mathstudent55
  • mathstudent55
Add like terms that are placed one above the other. What is x + 7x = ?
anonymous
  • anonymous
i think he's afk just waiting for the answer
anonymous
  • anonymous
sorry I'm back, give me a moment to read what you just said
anonymous
  • anonymous
would this be correct or am i off track? x+3y=5 + 7x−8y=6 ______________ 8x - 5y =11???
mathstudent55
  • mathstudent55
Correct.
mathstudent55
  • mathstudent55
Now you replace equation 1 by this new equation, and equation 2 remains the same as it was. What is the new system of equations?
anonymous
  • anonymous
8x - 5y =11 Eq.1 7x−8y=6 Eq.2
mathstudent55
  • mathstudent55
Original system New system \(x+3y=5\) Eq. 1 ---replaced by---> \(8x - 5y = 11\) \(7x−8y=6\) Eq. 2 ---remains as----> \(7x - 8y = 6\)
mathstudent55
  • mathstudent55
Exactly. Now read the choices and choose the correct one.
anonymous
  • anonymous
B thank you so much. you made it really clear i appreciate it
mathstudent55
  • mathstudent55
Great. You're welcome. Notice that you did all the work. I just guided you through it. When you have a problem like this one, break down the instructions into small steps and do one step at a time until you get it all done. Good job!
anonymous
  • anonymous
@mathstudent55 thanks, i honestly have no idea how people can memorize this. I'm good at every other subject but math just gets me lol
mathstudent55
  • mathstudent55
Each of us has our strong and weak subjects. This way we can help each other.

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