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

Answer:

(a). The value of y is 6.

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

Step-by-step 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

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

$9y=64-10$

$y=\dfrac{54}{9}$

$y=6$

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

Using equation of RS

$RS=5y+3$

Put the value of y

$RS=5\times6+3$

$RS=33$

We need to calculate the value of ST

Using equation of ST

$ST=4y+7$

Put the value of y

$ST=4\times6+7$

$RS=31$

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

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