Question

For questions 4-5, how many solutions does the system have?

4. 4y+4=x
2x+8y=8

a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

5. 6x+2=y
3y-18x=12

a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

Answer 1

4y+4=x
2x+8y=8

if we divide the second equation by we'll get
x+4y = 4 then x=4-4y
replace it in the first equation
4y+4 = 4-4y
8y=0 then y=0
x=4

thus this system has one solution

Answer 2

so #4 has one solution?

Answer 3

6x+2=y
3y-18x=12

replace y from first equation in the second
3(6x+2) - 18x = 12
18x +6 -18x = 12
6=12 impossible!
then the system has no solutions

Answer 4

yeah #4 has one solution
#5 has no solution

Answer 5

ok thank you so much i couldnt understand any of this

Answer 6

glad to help :)

Answer 7

the answer to #4 was actually many soltuions but thats ok.

Answer 8

System 4: One intersection of the 2 lines, meaning 1 solution.
System 5: The 2 lines are parallel (have the same slope). This means an infinity of solutions.