the difference of two numbers is 5. three times the smaller number is two more than twice the larger number. find the numbers

4 answers

a = b + 5

3a = 2b + 2

Substitute b + 5 for a in the second equation and solve for b. Put that value in the first equation to find a. Put both values in the second equation as a check.
that didn't work
I'm sorry, b is the smaller number. The second equation should be:

3b = 2a + 2

Try it again.
The different of X-y=5, let x be the small and y be the large , three time the smaller=3x = two more than twice the large=2y+2, we are going to find con the first equation x=y+5 now we are going to plug that value of x in our second equation, 3x=2y+2, 3(y+5)=2y+2, 3y+15=2y+2, y=-15+2, y=-13, now let find x, x-13=5x=+13+5=18,!our number are -13 and18