At a concession stand, 9 slices of pizza and 5 soft pretzels cost $33.25. If 6 soft pretzels and 4 slices of pizzas cost $19.50, what is the cost of a soft pretzel and a slice of pizza?

Let x and y represent the costs of a pizza slice and a soft pretzel, respectively. The two purchases can be described by ...

9x + 5y = 33.25

4x + 6y = 19.50

A graph shows the solution of these equations to be

(x, y) = (3, 1.25)

The cost of a soft pretzel is $1.25.

The cost of a slice of pizza is $3.00.

9x+5y=33.25

4x+6y=19.50

Multiply the first equation by 6 and the second one by 5 so the ys (soft pretzels) will cancel out and leave you with x (slices of pizza) so you should get:

54x+30y=199.50

20x+30y=97.50

Then subtract the equations leaving you with:

34x=102

X=3

So each piece of pizza is $3

Then plug 3 in for x to get y I’ll just use the first equation

27+5y=33.25

5y=6.25

Y=1.25

Each pretzels costs $1.25