graphic equations systems?

Question

1. choose the possible number of solutions for these equations –x-3y= -3-2x + 6y= 12 infinite number of solutions, one solution, or no solution?2. which types of lines match these equations?x+y=6x-y = 6 coinciding, parallel, or perpendicular?3. which types of lines match these equations?x+y=12x-y=2intersecting, coinciding, or parallel?4. choose the possible number of solutions for these equations.x+y=0x=yno solutions, one solution, or infinite?5. choose the possible # of solutions for these equations:2y-x=6 y=x+6one solution, none, or infinite number.6. which types of lines match this equation? x+y= 10x-y =6 parallel, coinciding, or intersecting?7. choose the possible # of solutions for these equationsx+2y=6 y+2x=6infinite, none, or one solution?

Dr. Reggie Bosco DVM · 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=2 The 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.

Harmon Keeling

graphic equations systems?

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