At a local basketball game all tickets are the same price and all souvenirs are the same price Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25 Mrs. Lockhart bought five tickets the same game and to souvenirs for a total of $42 how much was your ticket to this game?

the cost of a ticket to the game is $7.5

Step-by-step explanation:

Let x represent the price of each ticket.

Let y represent the price of each souvenir.

Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25. This is expressed as

2x + y = 17.25- - - - - - - - - - -1

Mrs. Lockhart bought five tickets for the same game and 2 souvenirs for a total of $42

This is expressed as

5x + 2y = 42- - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1. It becomes

4x + 2y = 34.5

5x + 2y = 42

Subtracting, it becomes

- x = - 7.5

x = 7.5

Substituting x = 7.5 into equation 1, it becomes

2 × 7.5 + y = 17.25

15 + y = 17.25

y = 17.25 - 15

y = 2.25

its 4 because 2 times 2 is 4, if you double the number two you get four

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b