The difference between two numbers is 4. Twice the first number plus three times thesecond number is 28. Find the two numbers.

Guest Mar 16, 2021

#1**+1 **

let's define two variables for the first and second numbers: *x *and *y. *

now we can create a system of equations -

x - y = 4.

2x + 3y = 28.

i'm going to use elimination for this one, though substitution works just as well! i will multiply the first equation by 2.

2x - 2y = 8

2x + 3y = 28

so now we can subtract these two equations.

5y = 20

y = 4

to solve for x, we plug in the value for y in one of the initial equations.

x - 4 = 4

x = 8

and we're done! hope this helped! please let me know if you are confused about anything i did

euph0ria Mar 16, 2021

#2**+1 **

x - y = 4

2x + 3y = 28

Use system of equations:

2x - 2y = 8

2x + 3y = 28

-----------------

-5y = -20

y = 4

x - y = 4

x - (4) = 4

x = 8

The two numbers are 4 and 8 :)

Logarhythm Mar 16, 2021