anonymous
  • anonymous
y=4x x+y=5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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sandra
  • sandra
hello
sandra
  • sandra
this is a classic "substituion" problem
sandra
  • sandra
the idea is that you want to take the value of a variable from one equation, and "substitute" that into the other

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sandra
  • sandra
since you have two unknowns, you need two equations - which you have
sandra
  • sandra
so let's take y=4x and substitute it into the second equation
sandra
  • sandra
so x+y = 5 becomes x + (4x) = 5 (I just replaced y in the second equation with what the first equation asserted y to be)
sandra
  • sandra
that is called subsitution
sandra
  • sandra
so x+4x =5, 5x=5, and now divide both sides by 5 for the answer
sandra
  • sandra
so x = 1
sandra
  • sandra
now that you have x, you can substitute that back into either equation to get the value of y
sandra
  • sandra
so x+y = 5, and I know that x=1. so 1+y=5, 1-1+y = 5-1, y=4 (subtract 1 from both sides)
anonymous
  • anonymous
i got up to x=1 then got confused on Y
sandra
  • sandra
ok great
sandra
  • sandra
well, think of x=1 as just another piece of information you now have, along with the original equations
sandra
  • sandra
so if x+y = 5 , and I already know x=1, then I can substitute the value of x in that first equation with what I know to be true
sandra
  • sandra
so 1 + y = 5
sandra
  • sandra
and then y=4
sandra
  • sandra
you can always check your work at the end of these problems too
anonymous
  • anonymous
plug in 4x for y x+4x=5 5x=5 5 divided by 5 = 1
sandra
  • sandra
so our guess is that x = 1, and y = 4
sandra
  • sandra
if you stick those back into the original equations, do they hold true?
anonymous
  • anonymous
yes
sandra
  • sandra
if they do, then you know you did it right
anonymous
  • anonymous
ok. got it. thank u
sandra
  • sandra
np!

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