Question

What is the value of y in the equation RS = 5y + 2, ST = 2y + 3, and RT = 12y - 15?

A) y = 4
B) y = 5
C) y = 6
D) y = 7

Answer 1

By setting up the equation RS + ST = RT and solving for y, we find that y equals 4, making option A the correct answer.

Step-by-step explanation:

To find the value of y in the given equations, we need to recognize that RS + ST = RT. Therefore, we can set the equation for RS plus the equation for ST equal to the equation for RT:

(5y + 2) + (2y + 3) = 12y - 15.

Simplifying the equation, we combine like terms:

7y + 5 = 12y - 15.

Next, we solve for y by subtracting 7y from both sides:

5 = 5y - 15.

Then we add 15 to both sides:

20 = 5y.

Finally, we divide both sides by 5:

y = 4.

So the value of y is 4, which corresponds to option A).