Question

Hello Can Someone Please Help Me? Thanks!

Answer 1

Consider the following set of equations:

Equation C: y = 2x + 8
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinite solutions

Answer 2

I am stuck on the question, its a practice thing on my lesson, but I am trying to solve it so it will be easier to do it on my real quiz... :(

Answer 3

I know for sure its not two solutions, because my teacher said I won't be getting there until 9th grade. So just giving you a heads up and easier to solve this problem you can already eliminate 2 solutions! :D

Answer 4

so you notice anything about the slope of each line...?

Answer 5

Umm. There positive?

Answer 6

Well, this equations represent lines, and these lines have the same slope so they are parallel.
A system of equations always represents a "point in common" or "point of intersectrion" between the equations of two geometric bodies.
When they are parallel, they do not intersect each other.
When you solve the system and end up with a "0=0" means that the lines are on top of each other, and that means "infinite solutions" but if you end up with a form "0=k" then it means there is no solution at all.

Answer 7

ok... here is a really simple method... graph the lines use the link I posted

just type a line in press enter then type the 2nd line and press enter

https://www.desmos.com/calculator

Answer 8

And I know if for example it says 4=5 it is no solutions

Answer 9

you need to know the key features of each line...

y= mx + b
they are

1. the slope (m)

2. the y- intercept (b)

graphing them will help you understand what each represents

Answer 10

Ok

Answer 11

But I still don't

Answer 12

get it

Answer 13

Can you come back please... I don't get the answer or what I am suppose to do....

Answer 14

@campbell_st

Answer 15

well when you graphed the lines what did you get...?

Answer 16

here is my version of the graphs

Answer 17

looking at the answer choices

No solutions... would mean the lines are parallel... and never intersect

One solution.. the lines intersect once...

Two solutions... the lines intersect twice... with is impossible for linear functions...

Infinite solutions... which occurs with 1 line is a multiply of the other...

e.g. y = 3x - 5 2y = 6x -10

the slope determines if the lines will intersect... different slopes result in intersecting lines

if the slope are the same, with different y- intersects the lines are parallel.

hope it helps

Answer 18

So, the answer would be?

Answer 19

@campbell_st

Answer 20

I am here sister, she log into mine, because her froze, i will pass u to her

Answer 21

hey @campbell_st sorry, i saw the graph but i still don't get the answer

Answer 22

what would the answer be no solutions?

Answer 23

so no solutions because they are parallel and they never interest?

Answer 24

@campbell_st please come back:(

Answer 25

So it will be no solutions, since they are parallel and they don't intersect... Correct?

Answer 26

that's correct.. no solutions because the lines are parallel... they both have a slope of 2

Answer 27

Oh okay! Thank you so much! @happyfuzzy says thanks! :D

Answer 28

God bless you @campbell_st

Answer 29

I'll give u a medal!