How many solutions are there to the following system of equations?

4x – 14y = 6
–2x + 7y = –3

A.
infinitely many

B.
1

C.
2

D.
0

Question

How many solutions are there to the following system of equations?
 
4x – 14y = 6
–2x + 7y = –3
 
 A.
infinitely many
 
 B.
1
 
 C.
2
 
 D.
0

anonymous · Answer

@Hannah28

anonymous · Answer

Please help!!!!

cwrw238 · Answer

multiply every term of second equation by -2 and see what you get

anonymous · Answer

How do I do that?

anonymous · Answer

Can you tell me what infinetley many means?

cwrw238 · Answer

–2x + 7y = –3
*-2     *-2   *-2


infinite means  many many solutions  with no end to the list

anonymous · Answer

so -4x 14y and -6?

cwrw238 · Answer

no - not quite:  - * - = +     and - * + =  -

its
4x - 14y = 6

- the same as the first equation

anonymous · Answer

So then what do I do?

cwrw238 · Answer

well  there are many  (infinite number) of values of x and y which fit this equatio

anonymous · Answer

oh ok thanks,  could you help me on another?

cwrw238 · Answer

there is only one equation not 2  and the graph of this equation is a straight line

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cwrw238 · Answer

9x.y)as you can see there are an infinity number of points (x,y)  on this line

anonymous · Answer

so wait the answer would be A. since you could put many diff numbers in

cwrw238 · Answer

exactly

cwrw238 · Answer

- well not just many - an infinite number

anonymous · Answer

Thanks can You help me in another one if I tag you in it?

cwrw238 · Answer

sorry gotta go right away

anonymous · Answer

ok thanks for the help!!!

anonymous · Answer

@Lex_corney22 I'm sorry I was taking a test! At least you got help :)