1. Tell whether the system has one solution infinitely many solutions or no solution.
9x+8y=15
9x+8y=30
a. one solution
b. infinitely many solutions***
c. no solution
2. Tell whether the system has one solution infinitely many solutions or no solution.
5x-3y=10
10x+6y=20
a. one solution***
b. infinitely many solutions
c. no solution
3. Tell whether the system has one solution infinitely many solutions or no solution.
2x-5y=17
6x-15y=51
a. one solution
b. infinitely many solutions
c. no solution***
d
c
d
a
c
d
b
c
a
b
#1. two distinct parallel lines, so no solution
#2, correct
#3. If you multiply the first by 3, you get the 2nd.
So the two equations are really one and the same, thus :
infinite number of solutions.
1 ;; no solution ( c )
2 ;; one solution ( a )
3 ;; infinite solutions ( b )
If you use the elimination method and add the two equations together, if the variables are eliminated and you have a false statement like 0 = 15 then there is no solution.
If you have a true statement like 0 =0 then there are many solutions. To check your work, you could also graph the equations.
Parallel lines will never intersect so there are no solutions.
Lines that are actually the same and just written differently will be the same line when you graph it. You will have an infinite number of solutions.
Based on this, I don't agree with your answers.
Thanks Reiny!
Thanks John!
You guys really helped me in this one :)
Don't comment if you're a butt and stupid to not look at the comments^
Unit 7: Lesson 3 Practice Algebra 1 A
1. D) (4,5)
2. C) (6,3)
3. D) (3,1)
4. A) (3,4)
5. C) (4,7)
6. D) 660 Calories, 580 Calories
7. B) Parasailing: $51; Horseback riding: $30
8. C) No solution
9. A) One solution
10. B) Infinitely many solutions
10/10 (100%)
- Seeker