Write a system of equations to describe the situation below solve using substitution, and fill in the blanks. Nina is going to the water slides and needs to figure out which deal is better.She can pay 30 to go on the water slides as much as she wants, or she can pay 18 to get in, plus an additional 2 per trip down the water slides. If Nina goes on a certain number of trips down the water slides, the two options are equivalent in terms of cost. What is the cost? How many trips is that? It will cost Nina for either option if she goes on square trips.

## Step 1: Define Variables and Equations<br />### Let 'x' be the number of trips down the water slides and 'y' be the total cost. We can set up two equations representing the two options:<br />$y = 30$ (Option 1: unlimited slides for $30)<br />$y = 18 + 2x$ (Option 2: $18 entrance fee plus $2 per slide)<br /><br />## Step 2: Substitute and Solve for x<br />### Since both equations are equal to 'y', we can substitute the first equation into the second:<br />$30 = 18 + 2x$<br />$12 = 2x$<br />$x = 6$<br /><br />## Step 3: Solve for y<br />### Substitute the value of x (6) back into either equation to find y. Using the first equation:<br />$y = 30$<br /><br />## Step 4: Interpret the Solution<br />### The solution (x, y) = (6, 30) means that at 6 trips, both options cost $30.