Question

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

Answer 1

One number is 4.2, the other is 18.8

Explanation:

1.) x+y=23

(x+6y)x2=4

2.) (x+6y)x2=4 = 2x+12y=4

3.)Use elimination/substitution to solve

2x+12y=4 = x+6y=2 = x=2-6y

2-6y+y=23

4.)Solve for y

2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

x+4.2=23

x=18.8

I may be wrong so let me know if I am