djsalfsadjh2045 djsalfsadjh2045
  • 19-02-2021
  • Mathematics
contestada

Determine whether the system of equations has one solution, no solution, or infinitely many solutions. 4x=10+4y and 2x-2y=15

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 21-02-2021

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 +  y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

Answer Link

Otras preguntas

the mass of a textbook is about 1.25 kilograms. about how many pounds is this?
Lucy earned $18 babysitting on Friday and $20 babysitting on Saturday. On Sunday she spent half of the money. Which expression matches the words
__________ introduced the printing press to England.
The Aswan High Dam in Egypt controls the waters of the Niger River. True or false?
How many European countries had colonies in Africa in 1960?
In central Africa the blank climate allows thick forests to grow
the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number
I never understood science please help ASAP
As scientists search the universe for signs of life on other planets they are likely to focus on the presence of molecules containing which of the following ele
The geological time scale is divided up and organized according to what life forms existed on earth. a. True b. False