The sum of two numbers is 59. The difference between 2 times the first number and 6 times the second is - 34. Find the two numbers.

Answer: x = 40; y = 19

Step-by-step explanation:

x + y = 59

2*x - 6*y = - 34

x + y = 59

x = 59 - y

2 * (59 - y) - 6*y = - 34

118 - 2*y - 6*y = - 34

- 8*y = - 34 - 118

-8*y = - 152

y = - 152 / - 8

y = 19

x = 59 - y

x = 59 - 19

x = 40