Question

For the graph shown, select the statement that best represents the given system of equations.


3y – x = 12
x – 3y = 6

Answer 1

Can you please show me the graphs?

Answer 2

Or is the question just asking for the point of intersection between the two equations?

Answer 3

if you put them into standard form first, you can see something about those 2 equations

Answer 4

-x + 3y = 12
x - 3y = 6


notice

Answer 5

3y – x = 12
x – 3y = 6

3y = x + 12
y = 1/3 x + 4

Answer 6

the coefficients on the x and y terms are a constant multiple of one to the othe requation

multiply the first equation by -1

Answer 7

if this is the case, the lines are parallel

Answer 8

x – 3y = 6
-3y = -x + 6
y = 1/3 x -2
and yup you are correct

Answer 9

Multiply first equation by -1

x - 3y = -12
x - 3y = 6

Answer 10

if the left side also becomes the same, then you just have one line kin two forms, just multiples of the equation

Answer 11

right side , sorry,

Answer 12

That's right, I can see why you multiplied by -1

Answer 13

Yea they're parallel same slope

Answer 14

i think that is what they are looking for from the looks of it, parallel , perpendicular, one solution intersection

parallel lines = no solutions

same line = infinit solutins

intersecting, one soln

Answer 15

yes, for systems of linear equations, you can

-change order of equations
-multiply by constants
-add equations together

Answer 16

Yup

Answer 17

you can see , if you initially add the two equations together, you get

0 = 18

false, no solutions,no intersections, parallel

Answer 18

thxs

Answer 19

welcome, anytime