Question

Use the number line below, where RS = 6y +4, ST = 3y + 6, and RT = 82
What is the value of y?

Answer 1

The value of y is 8.

Step-by-step explanation:

To find the value of y, we can set up an equation using the given information. We know that RS = 6y + 4, ST = 3y + 6, and RT = 82. Since RS + ST = RT, we can substitute the values into the equation:

6y + 4 + 3y + 6 = 82

Combining like terms:

9y + 10 = 82

Subtracting 10 from both sides:

9y = 72

Dividing both sides by 9:

y = 8

Therefore, the value of y is 8.