For slices of cheesecake and one slice of pie cost $18. Seven slices of cheesecake and three slices of pie cost $34. How much does one slices of cheesecake cost?

4x+y=18

7x+3y=34

A piece of carrot cake is $4

Set this up as an equation.

Let's have "c" represent cheese cake

And "p" represent pie.

4c+p=18

7c+3p=34

I would solve this using substitution because you already have one "p" in the top equation.

Subtract the 4c and move it to the other side.

p=18-4c

Now plug the equation above into your other equation

7c+3 (18-4c) = 34

Distribute the 3 into 18-4c

7c+54-12c=34

Combine like terms.

54-5c=34

Subtract 54 to both sides

-5c=-20

Divide - 5 to both sides

C=4

A piece of carrot cake is $4