Question

Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT. R S T a. What is the value of y? y=Type an integer or a decimal.)

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Answer 1

Guy who answered first is wrong it’s 5 not 6

Explanation:

Answer 2

`y = 6`

`RS = 38`

`ST = 39`

`RT = 77`

Explanation:

Given:

`RS = 6y +2`

`ST=5y + 9`

`RT= 13y - 1`

Solving (a): The value of y

From the given parameters, we understand that

`RT = RS + ST`

Substitute values for RS, ST and RT

`13y - 1 = 6y + 2 + 5y + 9`

Collect Like Terms

`13y - 6y - 5y = 1 + 2 + 9`

`2y = 12`

Divide both sides by 2

`y = (12)/(2)`

`y = 6`

Solving (b):

The value of RS

Substitute 6 for y in
`RS = 6y +2`

`RS = 6 * 6 + 2`

`RS = 36 + 2`

`RS = 38`

The value of ST

Substitute 6 for y in
`ST=5y + 9`

`ST = 5 * 6 + 9`

`ST = 30 + 9`

`ST = 39`

The value of ST

Substitute 6 for y in
`RT= 13y - 1`

`RT = 13 * 6 - 1`

`RT = 78 - 1`

`RT = 77`