anonymous
  • anonymous
What is the solution to the system of equations? https://static.k12.com/bank_packages/files/media/mathml_9126ef8d2eddfa27c0e82bd3ceed854ab4f713a1_1.gif ( , )
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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pooja195
  • pooja195
Hi :) ok so we are given 2 equations 4x+y=2 <---equation 1 x-y=3 <---equation 2 We need to isolate x in equation 2 so that we can use the substituion metho x-y=3 Can you isolate x?
anonymous
  • anonymous
lol could you walk me through it please
pooja195
  • pooja195
All you need to do is add y to both sides :P

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pooja195
  • pooja195
What do we have once we add y to both sides?
anonymous
  • anonymous
you have 4x+ y= 2y x - y = 3y
anonymous
  • anonymous
right?
pooja195
  • pooja195
Yes but we want to isolate x so that the equation will look like x=_____
anonymous
  • anonymous
Oh
anonymous
  • anonymous
lol idk how to do that in this problem
pooja195
  • pooja195
to isolate x you add y to both sides x - y = 3y x - y +y= 3y+y
pooja195
  • pooja195
x=4y
pooja195
  • pooja195
4x+y=2 <---equation 1 x=4y <---equation 2 now you take the value of x and plug it into equation 1 4(4y)+y=2 solve for y
anonymous
  • anonymous
9y=2
pooja195
  • pooja195
4 x 4 =?
anonymous
  • anonymous
8
pooja195
  • pooja195
Multiplying...
anonymous
  • anonymous
?
pooja195
  • pooja195
Ok let's start over ok so we are given 2 equations 4x+y=2 <---equation 1 x-y=3 <---equation 2 To use the substitution method we need to isolate a variable look at equation 1 there is already a vairble by itself lets isolate it all we need to do is subtract 4x from both sides now we have y=−4x+2 <---equation 1 x−y=3 <---equation 2 Are we good so far?
anonymous
  • anonymous
so my answer is 4,5
pooja195
  • pooja195
No. That's incorrect
pooja195
  • pooja195
y=−4x+2 <---equation 1 x−y=3 <---equation 2 We take equation 1 and plug it into equation 2 in place of y x-(-4x+2)-y=3 solve for x
anonymous
  • anonymous
5x-2-y=3
anonymous
  • anonymous
5x-y=5
pooja195
  • pooja195
There is no y my bad 5x-2=3 is correct continue on :)
anonymous
  • anonymous
5x=5
anonymous
  • anonymous
x=1 or x=25
pooja195
  • pooja195
No we divide so x=1 is correct :)
anonymous
  • anonymous
so my answer is one?
pooja195
  • pooja195
For x yes it is one now lets solve for y Substitute 1 for x in y=−4x+2 y=−4x+2 y=(−4)(1)+2
anonymous
  • anonymous
y=-2
pooja195
  • pooja195
Well done =)
anonymous
  • anonymous
thank you so much!
pooja195
  • pooja195
yw ^_^
anonymous
  • anonymous
my answer is (1,-2)
pooja195
  • pooja195
Correct
anonymous
  • anonymous
thanks

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