graphic equations systems?

Question

For the following system of equations, determine the possible number of solutions:  
( -x - 3y = -3 )

( -2x + 6y = 12 )
   Options: infinite number of solutions, one solution, or no solution?

Identify the relationship between the lines represented by these equations:

( x + y = 6 )

( x - y = 6 )
   Options: coinciding, parallel, or perpendicular?

Determine the relationship between the lines represented by these equations:

( x + y = 12 )

( x - y = 2 )
   Options: intersecting, coinciding, or parallel?

For the following system of equations, determine the possible number of solutions:

( x + y = 0 )

( x = y )
   Options: no solutions, one solution, or infinite solutions?

For the following system of equations, determine the possible number of solutions:

( 2y - x = 6 )

( y = x + 6 )
   Options: one solution, none, or infinite solutions?

Identify the relationship between the lines represented by these equations:

( x + y = 10 )

( x - y = 6 )
   Options: parallel, coinciding, or intersecting?

For the following system of equations, determine the possible number of solutions:

( x + 2y = 6 )  
( y + 2x = 6 )
   Options: infinite solutions, none, or one solution?

Anonymous · Accepted Answer

1.  x-3y= -3 -2x + 6y= 12Multiplying equation 1 with -2  to get  -2x + 6y = 6These 2 lines have same slope but different constants so they are 2 paralle lines. 2. x+y=6 x-y = 6The 2 lines have slopes 1 and -1 so they are perpendicular.3. x+y=12 x-y=2The 2 lines have slopes 1 and -1 so they intersect.4. x+y=0 x=yThe 2 lines have slopes 1 and -1 so they have 1 solution. 5. 2y-x=6 y=x+6The 2 lines have different slopes so the have 1 solution.  6.x+y= 10 x-y =6 The 2 lines have slopes 1 and -1 so they intersect. 7.  x+2y=6   y+2x=6The 2 lines have different slopes so the have 1 solution.

Anonymous

graphic equations systems?

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