gary38 4 years ago setermine with out graphing if this has one solution, no solution or infinite number of solutions explain why x-y =3 3x + 3y = -3

1. amistre64

they are the same line

2. amistre64

no they aint

3. amistre64

parallel at least :)

4. rim182946

take the 3 out of the 2nd equation

5. uzma

no differnent

6. rim182946

x + y = -1

7. amistre64

perp?

8. rim182946

negative reciprocal slopes so yes perpendicular

9. uzma

product of slopes is -1

10. uzma

so one solution exists

11. amistre64

i knew it :) kindof... maybe

12. AbdulRehman

intersect at only one point so only one solution exist. As these are straight lines so they cut only once.

13. rim182946

1. If the slopes are the same then: A) if you can get one equation by multiplying the other equation by a constant, then they are the same line which means infinitely many solutions B) if the left hand sides are the same and the right hand sides are different then the lines are parallel which means no solution 2. otherwise if the slopes are different then they will intersect at one point