Final answer:
To find when y1 exceeds y2 by 5, set up the equation 11x - 5 = 6x + 5 + 5 and solve for x. The correct answer is c) x = 3.
Step-by-step explanation:
To find the value of x when y1 exceeds y2 by 5, we need to set up an equation and solve for x. The equation would be:
11x - 5 = 6x + 5 + 5
Combining like terms, we get:
5x = 15
Dividing both sides by 5, we find that x = 3.
Therefore, the correct answer is c) x = 3.
The student asked when y1 exceeds y2 by 5. To find the answer, we set up the equation y1 - y2 = 5 and substitute the given expressions for y1 and y2.
11x - 5 - (6x + 5) = 5
Which simplifies to:
11x - 5 - 6x - 5 = 5
5x - 10 = 5
5x = 15
x = 3
Therefore, y1 exceeds y2 by 5 when x = 3, which corresponds to option (c).