subject
Mathematics, 19.02.2020 00:22 janilaw1

PLEASE HELP ME!! UNIT TEST! 26PTS

Beyonce finds that y=4. Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second. I seem to find that there is only one solution to the two equations but I wonder if I will get the same solution if I use a different method?

2. Is the answer to 1 (can you get the same solution even if you use different methods) different if we have a system of two equations with no solutions? What if there are infinite solutions? Or is it the same process? Beyonce is solving a system of equations: 2x-3y=-2 and 4x+y=24 She multiplies the second equation by 3 and then adds the first equation to find 14x=-70, showing her that x=5.

Here is my answer to the first one can you help me with the second?
1. What is the answer to Beyonce's question? Be sure to show work or explain reasoning.
x=5, y=4. (5, 4)

My Work:
2x-3y=-2 [1]
4x+y=2 [2]
Multiply [1] by -2 and add to [2] gives -4x+6y=4 [3]
Add [2] and [3] term by term
(4x-4x) ++ (y+6y) = (24+4), that is 7y=28 (divide by both sides of the equation)
y=4
Substitute y=4 into either 2 equations
Substituting y=4 into [2]
4x+4=24 (Make sure to subtract 4 from both sides)
4x=20(Divide both sides by 4)
x=5

ansver
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 12:30, mujithkalhan2762
Last saturday, the museum box office sold 281 tickets for a total of $3,954. adults ticket cost $15, and students ticket cost $12. how many of each kind of tickets were sold?
Answers: 1
image
Mathematics, 21.06.2019 13:30, terryg4397
After two years, how much has been paid into interest?
Answers: 1
image
Mathematics, 21.06.2019 14:00, heatherswiffin666
Rewrite the following without an exponent. (5/8)-1
Answers: 1
image
Mathematics, 21.06.2019 15:30, dolliemeredithm
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. which graph represents the set of heights that satisfy this requirement?
Answers: 3
You know the right answer?
PLEASE HELP ME!! UNIT TEST! 26PTS

Beyonce finds that y=4. Thinking about this process, B...

Questions in other subjects:

Konu
Computers and Technology, 27.08.2019 18:30
Konu
Social Studies, 27.08.2019 18:30
Konu
Mathematics, 27.08.2019 18:30