Beyonce is solving a system of equations: 2x β 3y = -2
4x + y = 24
She decides to use t...
Mathematics, 20.02.2021 04:30 fardinhaque6113
Beyonce is solving a system of equations: 2x β 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. 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 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) β 12x + 3y = 72
Step 2: 2x β 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
β x = 5
Thinking about this process, Beyonce says out loud, βThere 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 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x β 3y = -2) β -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
β y = 4
βI 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?β
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Answers: 2
Mathematics, 21.06.2019 14:30
Sadie computes the perimeter of a rectangle by adding the length, l, and width, w, and doubling this sum. eric computes the perimeter of a rectangle by doubling the length, l, doubling the width, w, and adding the doubled amounts. write an equation for sadieβs way of calculating the
Answers: 3
Mathematics, 21.06.2019 18:30
Florence price's brownies and more sells all types of cookies and pastries. on tuesdays, they markdown all brownies 75% to a sale of $1.50 a dozen. find the selling price and the markdown of a dozen brownies.
Answers: 1
Mathematics, 21.06.2019 20:00
Axel follows these steps to divide 40 by 9: start with 40. 1. divide by 9 and write down the remainder. 2. write a zero after the remainder. 3. repeat steps 1 and 2 until you have a remainder of zero. examine his work, and then complete the statements below.
Answers: 1
Mathematics, 21.06.2019 22:00
Which statements describe the solutions to the inequality x< -20 check all that apply. there are infinite solutions. each solution is negative. each solution is positive. the solutions are both positive and negative. the solutions contain only integer values. the solutions contain rational number values.
Answers: 1
English, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
Business, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
History, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
English, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30
Mathematics, 11.11.2020 20:30