The sum of two numbers is 10. Six less than twice the largest number is equal to teon less than four times the smaller number. Find the numbers.

Question

please show work with only one variable

Answer 1

one number = x

2nd number = 10-x

2(x)-6 = 4(10-x) - 1 = 40-4x-1 = 39-4x

6x = 45

x = 45/6 = 7.5 = the larger number

10-x = 10-7.5 = 2.5 = the smaller number