Which systems of equations have infinite solutions 2x+5y=31 6x-y=13 or 2x+y=10 -6x=3y+7 or y=14-2x 6x+3y=42 or y=13-2x 4x-3y=-19 or 2x+y=14 x=13-2y or 2x+y=17 -6x=3y-51

Step-by-step explanation:

Dependent equations will have infinite solutions. One way to tell if a system of equations is dependent is to put all of the equations into standard form. Here, we can use the form ...

  ax + by = c

where a, b, c are mutually prime integers and "a" is positive. When dependent equations are put in this form, they resolve to the same equation.

Here, the rearrangement is accomplished by putting the x- and y-terms on the same side of the equal sign, with the x-term having a positive coefficient. If necessary, the constant is put on the other side, and any common factors removed from all of them.

Then the sets of equations are ...

__

__

__

__

__

__

The 3rd and 5th sets of equations are dependent, so have infinite solutions.

The second set of equations is inconsistent, so has no solutions.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

54

step-by-step explanation: