anonymous
  • anonymous
HELP! WILL MEDAL AND FAN!! Solve the following system of equations: -2x + y = 1 -4x + y = -1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ybarrap
  • ybarrap
Add the 1st equation to the negative of the 2nd equation. What do you get?
anonymous
  • anonymous
Y= -2x + 1 and Y= -4x - 1
anonymous
  • anonymous
Y= -2x + 1 and Y= -4x - 1

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More answers

ybarrap
  • ybarrap
Like this -2x + y = 1 plus -(-4x + y = -1) equals -2x -(-4x) + y - y = 1 -(-1) Do you see what happened here?
anonymous
  • anonymous
yeah
ybarrap
  • ybarrap
So what do you think we should do with that last equation?
anonymous
  • anonymous
solve it or simplify it
ybarrap
  • ybarrap
Ok, try it out - I'll watch and help
anonymous
  • anonymous
are you tring to put it into y= form?
ybarrap
  • ybarrap
How can we simplify this - -2x -(-4x) + y - y = 1 -(-1) ?
anonymous
  • anonymous
-2x+y=1
ybarrap
  • ybarrap
See the y - y will cancel to become zero $$ -2x -(-4x) + 0 = 1 -(-1)\\ $$ What's else can we do?
anonymous
  • anonymous
subtract the values and get -6x
ybarrap
  • ybarrap
Close The -(-4x) becomes just 4x: $$ -2x +4x + 0 = 1 -(-1)\\ $$ Now what?
ybarrap
  • ybarrap
What is -2x + 4x ?
anonymous
  • anonymous
2x
ybarrap
  • ybarrap
yes! So now we have $$ 2x+0=1-(-1) $$ What's can we do next?
anonymous
  • anonymous
2x+0=-2
ybarrap
  • ybarrap
-(-1) = 1 Remember, negative of a negative number makes it positive Try again
anonymous
  • anonymous
2x+0=1
ybarrap
  • ybarrap
$$ 2x+0=1-(-1)=1+1 $$ Do you see that? What's next?
anonymous
  • anonymous
2x+0=2
ybarrap
  • ybarrap
yes! Ok, what do we do now?
anonymous
  • anonymous
subtract 0 from both sides and get 2x=2
ybarrap
  • ybarrap
What next?
anonymous
  • anonymous
the answer choices are A. (3,1) B (-1,3) C (-1,-3) D (1,3)
ybarrap
  • ybarrap
We need x by itself, what do we need to divide out on both sides to make 2x equal to just x ?
anonymous
  • anonymous
2 divided by both sides
ybarrap
  • ybarrap
Yes! We need to divide 2 to both sides: $$ \cfrac{2x}{2}=\cfrac{2}{2}=? $$ What does this give us for x?
anonymous
  • anonymous
x=0
anonymous
  • anonymous
x=1
ybarrap
  • ybarrap
Yes! Now you know one variable. Now let's use one of your original equations to get y Let's use this one $$ -2x + y = 1 $$ Plug in x=1 and see what you get for y.
ybarrap
  • ybarrap
$$ -2\times 1 + y = 1 $$ So now what is y?
anonymous
  • anonymous
-2y=1
ybarrap
  • ybarrap
$$ -2\times 1 + y = -2+y=1 $$ See that?
anonymous
  • anonymous
yeah
ybarrap
  • ybarrap
How do you move the -2 to the other side of the equal sign?
anonymous
  • anonymous
im so confused this isnt leading to any of the answer choices
anonymous
  • anonymous
and i have so many more questions in so little time
ybarrap
  • ybarrap
Add 2 to both sides of this equation $$ -2+y+2=1+2 $$ What does this give us?
anonymous
  • anonymous
-2 + 2y = 3
ybarrap
  • ybarrap
Almost there $$ -2+2+y=3 $$
ybarrap
  • ybarrap
What's -2 + 2?
anonymous
  • anonymous
0
anonymous
  • anonymous
y=3
ybarrap
  • ybarrap
Yes! So now you know everything. x=1 y=3 (1,3)
anonymous
  • anonymous
oh thats make so much sense thanks so much
ybarrap
  • ybarrap
When you do one on your own, all the others will be like adding 1+1=2
ybarrap
  • ybarrap
do another on your own right here
ybarrap
  • ybarrap
Have some courage my friend, everything takes time -- don't worry about the little things.

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