Model with Mathematics Refer to the graphic novel frame below for Exercises a-b.

a. The equation \(\text{y} = 0.71\text{x}\) represents the total cost y of x tickets at the rate of 7 tickets for $5. The equation \(\text{y} = 25\) represents the cost of a wristband. Graph each equation on the same coordinate plane.

b. How many rides must each person ride for the wristband to be the better deal?

Persevere with Problems One equation in a system of equations is \(\text{y} = 2\text{x} + 1\).

a. Write a second equation so that the system has (1, 3) as its only solution.

b. Write an equation so that the system has no solution.

c. Write an equation so that the system has infinitely many solutions.

Persevere with Problems Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.

If the system \(\text{y} = \text{a}\text{x} + \text{b}\) and \(\text{y} = \text{c}\text{x} + \text{d}\) has exacly one solution, then \(\text{b} = \text{d}\).