starrrrrr70 starrrrrr70
  • 03-02-2022
  • Mathematics
contestada

5x = 4y + 28
2y = 7x - 24
What is the x-value in the solution to the system?
(Show work pls)

Respuesta :

RedGeek2531
RedGeek2531 RedGeek2531
  • 03-02-2022

Answer:

x = 36

Step-by-step explanation:

Rearrange the equations before solving simultaneously

4y = -5x - 28

2y = 7x - 24

now subtract

4y - 2y = 2y

5x - 7x = -2x

-28 - - 24 = -4

put these values together.

2y - 2x - 4.

2y = 2x + 4

y = 2x + 4 / 2

y = x + 2

substitute this into one of the 1st equations in the question.

5x = -4(x + 2) + 28

5x = -4x + 8 + 28

5x = -4x + 36

9x = 36

x = 4.

Answer Link

Otras preguntas

the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each square table can seat one person on
Jim’s allowance is $1.20 per week. Stan’s is 25¢ per day. How long will they have to save, if they save both their allowances together, before they can get a m
5x+4y+100 in slope intercept form
Write a system of equations with a solution (4,–3)
What is the mean of 87, 93, 86, 90, and 84?
Find all powers of 4 in range 4 through 1,000
the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each square table can seat one person on
which state of matter has the least amount of energy?
How did scientists discover the common structure of cells?
After what happened on April 19 can war between the colonies and Great Britain be avoided?