anonymous
  • anonymous
Literal Equation: Help solve 3x-4y = 26 x - 8y = 22
Mathematics
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anonymous
  • anonymous
Literal Equation: Help solve 3x-4y = 26 x - 8y = 22
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
3x-4y = 26 (-2) x - 8y = 22 -6x+8y = -52 x - 8y = 22 ------------- -5x = -30 x = 6
anonymous
  • anonymous
x=6,y=-2
anonymous
  • anonymous
Why do you only subtract -2?

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anonymous
  • anonymous
he is multiplying the whole equation with -2
amistre64
  • amistre64
you mulltiply the whole thing by (-2) in order to get an equation that can eliminate a variable
anonymous
  • anonymous
And you are elimination the Y?
amistre64
  • amistre64
yes; with the y gone, we can easily solve for x
anonymous
  • anonymous
What about substitution?
amistre64
  • amistre64
for example: 3x = 12; x=4 what happens if we multiply the whole thing by 5, does the x value change? 3x = 12 (5) 15x = 60 ; x = 4
amistre64
  • amistre64
substitution is just solving for one variable in the terms of the other ... its more labor intensive
amistre64
  • amistre64
subbing, elimiation, matrix .... all get the same answer so you eventually just go with whats best for you :)
anonymous
  • anonymous
Except rumor has it that this problem will be on a test with subbing instead!
amistre64
  • amistre64
How do you get to kentucky? lol
amistre64
  • amistre64
then solve for one variable in terms of the other; use that 'value' in the other eqaution to get a solid value for the 'other' variable; and use the solid value to determine the value of the unknowned
anonymous
  • anonymous
What if i took 3x - 4y = 26 x - 8y = 22 and i did this x = 22 + 8y would that work?
amistre64
  • amistre64
that would work out great :)
amistre64
  • amistre64
since x=x=x=x=x... use that 'value' for x in the top and solve it all for y
anonymous
  • anonymous
Are you saying 3(22 + 8y) - 4y = 26 66 + 24y - 4y = 26
amistre64
  • amistre64
thats correct
anonymous
  • anonymous
Why do I flip it the 2nd equation though?
amistre64
  • amistre64
becasue you cant really determine the value of y from the first equation; you need another 'form' to use it in to calibrate the value
amistre64
  • amistre64
umm.... what do you mean by flip it?
anonymous
  • anonymous
Changing it from x - 8y = 22 to x = 22 + 8y
amistre64
  • amistre64
think of subbing as 'looking at it from another direction'...
amistre64
  • amistre64
x + y = 6 can have any values; and you cant determine x or y to be one point ..... so look at it thru a different equation right?
anonymous
  • anonymous
So in the x - y = 4 4y - x = 14 could I change the x - y = 4 to x = 4 + y?
amistre64
  • amistre64
yes..... then we use that 'value' in the other equation to see it from a different perspective and can solve for y in it
anonymous
  • anonymous
or in the equation x + y = 10 6x - 7y = 34 I can change the x + y = 10 to x = 10 - y?
amistre64
  • amistre64
exactly
anonymous
  • anonymous
I think I get it. If I don't I'll just ask you again :D
amistre64
  • amistre64
good idea ;)

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