The sum of two numbers is 21 if 8 less than the sum of the two numbers is 5 more than triple the smaller number find the two numbers

x + y = 21

x + y - 8 = 3*y + 5

Subtract y from both sides.

x - 8 = 3y - y + 5

x - 8 = 2y + 5                        Substitute x = 21 - y into the equation

21 - y - 8= 2y + 5

13 = 3y + 5                            Subtract 5 from both sides

13 - 5 = 3y

8 = 3y                                    Divide by 3

y = 8/3

x + y = 21

x + 8/3 = 21

x = 21 - 8/3

x = 18 1/3 or 18.333333

Check

The smaller number is 8/3

x + y  - 8 = 3*(8/3) + 5          Remember that x + y = 21

21 - 8 = 8 + 5

13 = 13 and they check. Which one is the smaller number does not become a factor until you check your answer.

19.

step-by-step explanation:

you add the 9 in the tens column since it is a single digit and 9 plus zero is 9 so it is 19

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1