Solve, using the substitution method.
y – 2x = 8
16 + 4x = 2y
A.
The only solution is (1, 10).
B.
There is no solution.
C.
There are an infinite number of solutions.
D.
The only solution is (24, 0).
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OpenStudy (twizttiez):
@Loser66
OpenStudy (anonymous):
Okay. You need to take one of those equations and change it into either y= or x= so you can plug it in to the OTHER equation.
OpenStudy (twizttiez):
Ok
OpenStudy (anonymous):
or, "substitute it".
OpenStudy (anonymous):
I would suggest turning y-2x=8 into y=2x+8
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OpenStudy (anonymous):
Then, turning around and plugging it into the other equation, like so.
16+4x=2(2x+8)
OpenStudy (anonymous):
Distribute the 2 and solve.
OpenStudy (twizttiez):
Ok
OpenStudy (twizttiez):
I got A is that correct?
OpenStudy (twizttiez):
@mikaylabean
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OpenStudy (anonymous):
Okay, not quite. Let's work through It together?
OpenStudy (twizttiez):
Ok
OpenStudy (anonymous):
So, I left you with 4x+8=16+4x
OpenStudy (anonymous):
First, subtract the 8 from both sides.
OpenStudy (twizttiez):
Ok
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OpenStudy (anonymous):
What are you left with?
OpenStudy (twizttiez):
4x+4=16+0x?
OpenStudy (anonymous):
4x+4=16
OpenStudy (twizttiez):
:/ i knew that
OpenStudy (anonymous):
Not quite. 4x=8+4x
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OpenStudy (twizttiez):
Ok so then what do i do?
OpenStudy (anonymous):
You're subtracting the 8 from the left side from both sides. Next, you need to subtract 4x from both sides, youll be left with 0=8 and thats not true, so there are no solutions
OpenStudy (twizttiez):
Ohhhhh ok could you help with a few more?
OpenStudy (anonymous):
Sure thing.
OpenStudy (twizttiez):
YAY! so kawai
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