subject
Mathematics, 24.02.2021 23:10 tjgamer12

Beyonce is solving a system of equations: 2x – 3y = -2 4x + y = 24
She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) β†’ 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 β†’ x = 5

Thinking about this process, Beyonce says out loud, β€œThere 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.
Step 1: -2(2x – 3y = -2) β†’ -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 β†’ y = 4

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?
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.

If there is no solution or an infinite number of solutions to the system of equations, would it matter which method you used to solve the system? Be sure to explain your reasoning/

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 20.06.2019 18:04
Aquadratic function f(x) has a turning point at (3,-7). what is the turning point of -f(x)?
Answers: 1
question
Mathematics, 21.06.2019 16:30
What is the fewest number of full weeks briyana would have to work to have enough money? 8 weeks9 weeks 10 weeks11 weeks
Answers: 1
question
Mathematics, 21.06.2019 19:20
Which letters from the table represent like terms? a and b b and c a and d b and d
Answers: 3
question
Mathematics, 21.06.2019 19:20
Askyscraper is 396 meters tall. at a certain time of day, it casts a shadow that is 332 meters long.at what angle is the sun above the horizon at that time?
Answers: 1
You know the right answer?
Beyonce is solving a system of equations: 2x – 3y = -2 4x + y = 24
She multiplies the second...
Questions
question
Mathematics, 06.05.2020 02:57
question
English, 06.05.2020 02:57
question
English, 06.05.2020 02:57
question
Mathematics, 06.05.2020 02:57
question
Mathematics, 06.05.2020 02:57
question
Mathematics, 06.05.2020 02:57
question
Mathematics, 06.05.2020 02:57
question
Mathematics, 06.05.2020 02:57