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