The price of 6 slices of pizza and
4 drinks is $37. the price of 4 slices
of pizza and 6 drinks is $33. how
much does one drink.cost?

For this case we propose a system of equations:

x: Let the variable representing the cost of each pizza slice

y: Let the variable that represents the cost of each drink

According to the data we have:

We multiply the first equation by -4:

We multiply the second equation by 6:

We add the equations:

So, each drink costs $2.5

For its part, each slice costs:

Each slice cuests $4.5

Each drink costs $2.5

Each slice cuests $4.5