Mathematics
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OpenStudy (fairegaming):
Help for MEDAL
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OpenStudy (fairegaming):
Solve system on equations:
{2x - 3y = 19
{ x + y = 2
Vocaloid (vocaloid):
multiply the second equation by 2 to get
2x + 2y = 4
then subtract the two equations
Vocaloid (vocaloid):
2x - 2x = ?
OpenStudy (fairegaming):
I think it's the y = Mx + b thing and you plug them back in, I am just stuck
Vocaloid (vocaloid):
you don't have to use y = mx + b
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OpenStudy (fairegaming):
But in school that's what we have to use, and to show our work ;-;
Vocaloid (vocaloid):
oh, are you talking about substitution?
Vocaloid (vocaloid):
we can do that too
Vocaloid (vocaloid):
the second equation is
x + y = 2
we can subtract x from both sides to get
y = -x + 2
with me so far?
OpenStudy (fairegaming):
Map it out my finals are soon and this is gonna be in it'll at some point.
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OpenStudy (fairegaming):
Yeah I accidentally did the top problem
OpenStudy (fairegaming):
Then we subtract 2 from both sides right?
Vocaloid (vocaloid):
not quite
Vocaloid (vocaloid):
we wanted to get y on one side, and substitute that into the first equation
Vocaloid (vocaloid):
y = - x + 2
means that we can replace "y" with "-x + 2" whenever y shows up
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Vocaloid (vocaloid):
so
2x - 3y = 19
becomes
2x - 3(-x+2) = 19
solve for x
OpenStudy (fairegaming):
Oh ok
OpenStudy (fairegaming):
So we multiply into the parenthesis
OpenStudy (fairegaming):
2x + 3x - 6 = 19
OpenStudy (fairegaming):
5x - 6 = 19 whaaaa?
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Vocaloid (vocaloid):
add 6 to both sides
OpenStudy (fairegaming):
5x = 25
OpenStudy (fairegaming):
Divide by 5
Vocaloid (vocaloid):
good, now divide both sides by 5
OpenStudy (fairegaming):
Answer is 5
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OpenStudy (fairegaming):
Now we plug in for y? or were done
Vocaloid (vocaloid):
plug in for y
Vocaloid (vocaloid):
x + y = 2
x = 5
y = ?
OpenStudy (fairegaming):
5 , -3
OpenStudy (fairegaming):
Also I don't get this other problem
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OpenStudy (fairegaming):
x^2 - 7x = 0
OpenStudy (fairegaming):
Solve
OpenStudy (fairegaming):
Bump
OpenStudy (fairegaming):
Solve
Vocaloid (vocaloid):
factor
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Vocaloid (vocaloid):
x^2 - 7x = 0
x(x-7) = 0
what does x equal? you should get two answers
OpenStudy (fairegaming):
I am confused.
OpenStudy (fairegaming):
X = 0 so we plug 0 in for x?
Vocaloid (vocaloid):
yes, x = 0 but there is one more answer
x - 7 = 0
x = ?
OpenStudy (fairegaming):
X = 7?
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OpenStudy (fairegaming):
Or -7
OpenStudy (fairegaming):
Subtract from both sides and you get -7
OpenStudy (fairegaming):
What would you do with 9(x^2 - 4) = 0? Take the parenthesis problem and make it equal zero so like x^2 - 4 = 0?
OpenStudy (fairegaming):
Ahem..