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?

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

4x+y=18
7x+3y=34
A piece of carrot cake is $4