Question

Where RS = 6y + 2, ST = 2y + 7, and RT = 13y - 21.

Answer 1

See Explanation

Explanation:

The question is incomplete but a possibility is that the given parameters are points on a straight line.

I'll answer base on that assumption.

`RS = 6y + 2`

`ST =2y + 7`

`RT =13y -21`

To solve for y, we have that:

`RT = RS + ST`

This gives:

`13y - 21 = 6y + 2 + 2y + 7`

Collect Like Terms

`13y - 6y - 2y = 21 +2+7`

`5y = 30`

Divide both sides by 5

`y = 6`

To get the measure of each line. Substitute 6 for y in

`RS = 6y + 2`

`ST =2y + 7`

`RT =13y -21`

`RS = 6 * 6 + 2 = 36 + 2 = 38`

`ST = 2*6 + 7 = 12 +7 = 19`

`RT = 13*6 - 21 = 78 - 21 = 57`