Question

How many solutions does this system have? -3x+6y=10 and -3x+6y=-4
a. 0
b. 1
c. infinite
d. 2
Need help it is due today! I will give medal for help!

Answer 1

welcome to open study!

Answer 2

-3x + 6y = 10
-3x + 6y = -4

Answer 3

thanks:)

Answer 4

Before doing this problem, here are the possible choices.

Zero solutions - The lines do not intersect. They must be parallel.

Answer 5

yeah

Answer 6

1 solution - the lines intersect at 1 point (x,y)

infinite solutions - both equations describe the same line, they overlap each other at infinite points

Answer 7

We can throw away choice D)
2 lines can never intersect at 2 points only

Answer 8

yep i remember those things. i just need to know what it was because my teacher did not describe it well

Answer 9

ok

Answer 10

-3x + 6y = 10
-3x + 6y = -4

A little trick is, if the left hand sides are the same, but the right hand sides are different, like here, the lines are parallel

Answer 11

well the -3x are the same, and the 6y are the same. But you said the right side has to be different. So do you mean the 10 and -4 or the 6y?

Answer 12

or, if you can multiply one equation by a constant number to make the left side the same , it is still parallel, like here

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

multiply the first equation by 2, and you get the second , the two are parallel

Answer 13

so they are parallel? ok. so what would the answer be?

Answer 14

The solution to a system of 2 lines is where they intersect, how many solutions do 2 parallel lines have?

Answer 15

im not sure exactly but i think it would have two or 0

Answer 16

Parallel lines never intersect. They will have zero solutions / intersection points.

Answer 17

ok. thank you! i will tell you if it is right!:)

Answer 18

Two lines can never have 2 solutions, they can't intersect 2 times. Try to draw two lines on paper that only intersect 2 times

Answer 19

can you possibly help me with 3 more?

Answer 20

yes, post a new thread, type @DanJS in the question

Answer 21

ok