Question 113504
YOUR EQUATIONS ARE CORRECT!!!  GOOD WORK!!!!  NOW THE HARD PART IS BEHIND YOU.
Let x=one number
And y=the other

x + y = 22 -----eq1
5x = 6y ----eq2

Multiply eq1 by 5:

5x+5y=120-------------------eq1a
Next, substitute 5x=6y into eq1a:

6y+5y=120  collect like terms
11y=120  divide both sides by 11
y=10----------------------------------------the other number

substitute y=10 into eq2

5x=6*10=60  divide both sides by 5
x=12------------------------------------one number

ANOTHER WAY:

Let x=one number
Then 22-x=the other

Now we are told that:
5x=6(22-x)  get rid of parens

5x=132-6x  add 6x to both sides
5x+6x=132-6x+6x  collect like terms

11x=132  divide both sides by 11

x=12 ------------------one number

22-x=22-12=10------------------the other number


Hope this helps-------------------ptaylor