Question

Use the number line​ below, where RS=7y+2​, ST=5y+7​, and RT=14y−3. a. What is the value of​ y? b. Find​ RS, ST, and RT.

Answer 1

a. y = 6

b. RS = 44; ST = 37; RT = 81

Explanation:

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

plug in values to solve RS, ST, RT

RS = 7(6) + 2 = 44

ST = 5(6) + 7 = 37

RT = 14(6) - 3 = 81

Answer 2

a. y = 6

b. RS = 44

ST = 37

RT = 81

Explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a. y

b. RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

-----------------------------------

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81