One number is 5 less then twice another number the difference between the is 12 find the numbers

Question

I just can’t figure it out please help

Answer 1

Step 1, set up these equations and use elimination.

2x+5=y, which is the same as y-2x=5

y-x=12,

Line them up and eliminate y by subtracting:

y-2x=5

y-x=12

-x=-7 (Remember subtracting a negative # is the same as adding a positive one).

x=7, then plug back in to original equation: 12+7=19 or 14+5+19, so y is definitely 19.

Answer: x=7, y=19