Question

How can one halfx − 5 = one thirdx + 6 be set up as a system of equations ?

Answer 1

\[\frac{ 1 }{ 2 }x - 5 =\frac{ 1 }{ 3 }x + 6\]

Answer 2

Do you know the formula for a system of equations?

Answer 3

I know how to solve as in substitution, elimination.. stuff like that.. if its something else, then no idk.

Answer 4

A better question might be: Are you familiar with systems of linear equations? If so, type out an example of a system of linear equations (with 2 equatins, 2 variables).

Answer 5

You want that equation above to be in x + y = (a number)

Answer 6

y = 3x-2
y = -x - 6

example.

Answer 7

If it is a linear equation, you want it to be y = mx + b form..

Answer 8

Yeah so basically you have two equation that are equal to each other, what I mean is they have it set up as y = y:
\[y=1/2x-5\] and
\[y=1/2x+6\] I mean I was going to give you a different example but I think it's a bit obvious in either case.

Answer 9

Pretty much ^

Answer 10

my choices are..

A. 2y + x = −10
3y + x = 18

B. 2y + 2x = −10
3y + 3x = 18

C. 2y − x = −10
3y − x = 18

D. 2y − 2x = −10
3y − 3x = 18

Answer 11

It's the same thing, requires a little algebra, mess around with it and I think you will see :-)

Answer 12

\[\frac{ 1 }{ 2 }x - 5 =\frac{ 1 }{ 3 }x + 6\]

... could be re-written in the equivalent form
\[\frac{ 1 }{ 2 }x - 5 =y=y~=\frac{ 1 }{ 3 }x + 6\]

Answer 13

from which we get the system of linear equations\[y=(1/2)x-5,~y=(1/3)x+6\]

Answer 14

or
\[y=(1/2)x-5\]

Answer 15

\[y=(1/3)x+6\]

Answer 16

the answer is C... correct ?

Answer 17

Looks good!