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

 Mar 16, 2021
 #1
avatar+73 
+1

let's define two variables for the first and second numbers: 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 smiley

 Mar 16, 2021
 #2
avatar+544 
+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 :)

 Mar 16, 2021

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