Afirst number plus twice a second is 13. twice the first number plus the second totals 14. find the numbers. the smaller of the two numbers is .

X=1st y=2nd

x+2y=13 2x+y=14

First set one of the equations equal to x or y

x=13-2y now plug this in the other equation for x

2(13-2y)+y=14 distribute

26-4y+y=14 -->26-3y=14

get the y alone

-3y=14-26 --> -3y=-12

divide by -3 on both sides

y=4

now plug 4 into one of the original equations to find x

x+2(4)=13 -->x+8=13 --> x=13-8

x=5