Question

How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?
6y − x = −30
5y − x = 10

5y + x = −30
5y + x = 10

6y − 6x = −30
5y − 5x = 10

5y + 5x = −30
5y + 5x = 10

Answer 1

@mathmate

Answer 2

@mathmate @mathmale @Hotchellerae21 @dan815

Answer 3

You would divide each equation by the coefficient of y.
Then isolate y to the form y=a1x+b1, and y=a2x+b2
Equate the two right-hand sides to give one single equation in x, from which x can be found.

Answer 4

ok so it would be C

Answer 5

@mathmate

Answer 6

it would be C

Answer 7

sorry, C is not the correct answer.

Answer 8

ohh ok

Answer 9

so what would it bee?

Answer 10

If you take the first equation in A,
6y − x = −30
and divide by 6, you'd get
y-x/6=-5, or
y=x/6-5
which is the first part of the given equality.
Check the other equation to see if it works out to be the other part of the given equation.

Answer 11

ok so it would be A

Answer 12

I hope you worked out the second equation, because I didn't.

Answer 13

i did

Answer 14

@mathmate i did

Answer 15

Andy, please explain your reasoning before you type in "so it would be A." It's how you obtain your answer, or at least how you try to obtain it, that is important for long term understanding and recollection.

You are given "How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?" and you are asked to take this ONE equation involving the variable x only and to re-write it as two separate equations in y and x both; you are not asked to actually solve this system of equations.

Take the given equation: "one sixthx − 5 = one fifthx + 2" and separate it at the = sign into two halves: the left half and the right half; label each part with " y= ". Try that now, please.

Answer 16

ok :)

Answer 17

If you take the first equation in A,
6y − x = −30
and divide by 6, you'd get
y-x/6=-5, or
y=x/6-5
which is the first part of the given equality. @mathmale

Answer 18

Its going to be A i can feel it.

Answer 19

@geekfromthefutur will it be A because it think its going to be A because the first part of the equation works and thats the only answer that uses the first equation so i think its A. @mathmale

Answer 20

@mathmale

Answer 21

@Hotchellerae21

Answer 22

can you help me @campbell_st

Answer 23

ill give you a medal

Answer 24

well it looks like people have given you some help