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- anonymous

WILL FAN AND MEDAL
A set of equations is given below:
Equation H: y = −x + 2
Equation J: y = 3x − 4
Which of the following steps can be used to find the solution to the set of equations?
a.−x = 3x − 4
b.−x +2 = 3x
c.−x + 2 = 3x − 4
d.−x + 1 = 3x + 2

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- anonymous

- katieb

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- welshfella

Hint: if y = some expression in x and y also = another expression in x then these 2 expressions are equal to each other.

- anonymous

I'm lost. What do you mean?

- welshfella

a simple case:-
if y = a
and
y = b
then a = b because they are both equal to y

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- anonymous

Ok. But how does that explain this problem?

- welshfella

well look at the question y = 2 different things right - the 2 equations have 2 different expressions of x equal to y.
now check out the options to see if these 2 expressions have an '=' between them

- anonymous

I guess, to be honest I'm just very confused about this whole system and was wondering if somebody could take me through the steps

- welshfella

well there only one step
- refer back to y = a and y = b
instead a theres -x + 2 and instead of b there is what?
and these are equal

- anonymous

b would be 3x = -4?

- welshfella

no 3x - 4

- anonymous

Right, sorry that's what i meant

- welshfella

ok so the next step is to put these equal

- welshfella

look through the options to see which one does that

- anonymous

So it would be C.?

- welshfella

yes

- welshfella

y = -x + 2
y = 3x - 4
therefor
-x + 2 = 3x - 4

- anonymous

Thank you!!!!!!!!!!

- welshfella

get it?

- welshfella

yw

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