At Sam's a soda and 2 slices of everything pizza cost $10.25. At Two Cousins' a soda and 4 slice of everything pizza cost $18.75. The costs are the same at both places. What is the cost of 1 slice of pizza and 1 soda?

Step-by-step explanation:

1 soda 2 pizza = cost  1 soda 4 pizza = cost

1x+2y=10.25   1x+4y=18.75

Rewrite equations:

x+2y=10.25;x+4y=18.75

Step: Solvex+2y=10.25for x:

x+2y=10.25

x+2y+−2y=10.25+−2y(Add -2y to both sides)

x=−2y+10.25

Step: Substitute−2y+10.25forxinx+4y=18.75:

x+4y=18.75

−2y+10.25+4y=18.75

2y+10.25=18.75(Simplify both sides of the equation)

2y+10.25+−10.25=18.75+−10.25(Add -10.25 to both sides)

2y=8.5

2y

2=8.5

STEP 2(Divide both sides by 2)y=4.25

Step: Substitute4.25foryinx=−2y+10.25:

x=−2y+10.25

x=(−2)(4.25)+10.25

x=1.75(Simplify both sides of the equation)

x=1.75 and y=4.25

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.