Question

1.4.27

Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)

Answer 1

(a). The value of y is 6.

(b). The value of RS and ST are 33 and 31.

Explanation:

Given that,

RS = 5y+3

ST=4y+7

RT=64

(a). We need to calculate the value of y

Using given data

`RS+ST=RT`

Put the value into the formula

`5y+3+4y+7=64`

`9y=64-10`

`y=(54)/(9)`

`y=6`

(b). We need to calculate the value of RS

Using equation of RS

`RS=5y+3`

Put the value of y

`RS=5*6+3`

`RS=33`

We need to calculate the value of ST

Using equation of ST

`ST=4y+7`

Put the value of y

`ST=4*6+7`

`RS=31`

Hence, (a). The value of y is 6.

(b). The value of RS and ST are 33 and 31.