YanaSidlinskiy
  • YanaSidlinskiy
Relations and Functions y=-4x+3 Complete the table of values for the equation: x: -3, -1, 0, 4 y:
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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YanaSidlinskiy
  • YanaSidlinskiy
My first step would be: -4(-3) + 3 12+3 Right?
ganeshie8
  • ganeshie8
Yes!
YanaSidlinskiy
  • YanaSidlinskiy
Then... -4(-1) + 3 4+3 7 Right?

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More answers

ganeshie8
  • ganeshie8
Looks good! I'm sure you're going to complete rest of the table just fine
YanaSidlinskiy
  • YanaSidlinskiy
-4(0) + 3 0+3 3 -4(4) + 3 -16+3 -13
YanaSidlinskiy
  • YanaSidlinskiy
Hopefully, ganeshie! I hope it's correct lol.
ganeshie8
  • ganeshie8
All correct. good job !
ganeshie8
  • ganeshie8
As you can see we just need to follow the simple rules
YanaSidlinskiy
  • YanaSidlinskiy
Wait, wait! I think I'm putting the equation up wrong.... Like on my actual worksheet it's y-4x=3 This equation would change all the answers, right? If it will then I did it wrong. Idk why I was switching up everything.
ganeshie8
  • ganeshie8
Yes scratch everything and start over
ganeshie8
  • ganeshie8
\[y-4x~=~3\] is same as \[y~=~4x+3\]
YanaSidlinskiy
  • YanaSidlinskiy
How?
YanaSidlinskiy
  • YanaSidlinskiy
The 4x is negative... How would it be positive?
ganeshie8
  • ganeshie8
We're given below equation\[y-4x~=~3\] Since it is an equation, adding something to "both" sides won't change it, yes ?
ganeshie8
  • ganeshie8
add \(4x\) both sides : \[y-4x\color{red}{+4x}~=~3\color{red}{+4x}\]
YanaSidlinskiy
  • YanaSidlinskiy
Ohhhh, ok! I see! So like even if I had an equation of lets say: y-8x +5 I would get: y= 8x+5 Right?
ganeshie8
  • ganeshie8
thats right!
YanaSidlinskiy
  • YanaSidlinskiy
Ahh, ok! What about like if I had lets say umm... y+10x - 5 I'd get: y = -10x - 5 Right?
ganeshie8
  • ganeshie8
Is it \(y+10x-5\) or \(y+10x=5\) ?
YanaSidlinskiy
  • YanaSidlinskiy
y+10x= -5 My bad for the confusion.
YanaSidlinskiy
  • YanaSidlinskiy
It'd be y = -10x - 5. Is that correct?
ganeshie8
  • ganeshie8
Correct! Notice that you're simply subtracting \(10x\) both sides to get that
ganeshie8
  • ganeshie8
y+10x= -5 subtract 10x both sides y+10x-10x = -5-10x y = -5-10x
YanaSidlinskiy
  • YanaSidlinskiy
Yes, yes! Wow! I honestly don't even know what I would have done without you! Wow!! I'm soooo happy I understand this now!!
ganeshie8
  • ganeshie8
takes time, follow the rules and you will be fine :)
YanaSidlinskiy
  • YanaSidlinskiy
Yes, definitely. Like I knew I had to do something with the equation, I just didn't know why and how. Like I understand this so much better!!! Thank you!!!
ganeshie8
  • ganeshie8
the most important rule with equations is that you're allowed to add/subtract "same thing" to both sides of an equation.
ganeshie8
  • ganeshie8
np :)
YanaSidlinskiy
  • YanaSidlinskiy
Yes, definitely!
YanaSidlinskiy
  • YanaSidlinskiy
Well, guess who I'll be coming to next time I need help;) You know it;)
ganeshie8
  • ganeshie8
sure... any time !
YanaSidlinskiy
  • YanaSidlinskiy
Alrighty! Thanks again! I appreciate it so much! As of now, I do have to go and move on to the next level of topic.
ganeshie8
  • ganeshie8
just an example, if ``` yana = banana ``` then ``` yana + apple = banana + apple ``` you're allowed to add same thing (apple) to both sides. above both are called equations because they have a "=" symbol in them. both the equations are same.
YanaSidlinskiy
  • YanaSidlinskiy
LOL, haha! I'm so going to save that haha! Thanks for that example;)

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