Compare Solution Methods for Two-Step Equations Quick Check 3 of 53 of 5 Items Question Stacia wanted concert tickets that were selling for $36 each, and then she got a $19 discount. She paid a total of $53 for the tickets. How many tickets did she buy? Identify the operations needed to solve this problem using the equation 36x −19=53 .

Answer 1

To solve the equation 36x −19=53, we will use two solution methods:

1. Addition and Subtraction Method:

a) Begin by isolating the term with the variable x by adding 19 to both sides of the equation:
36x - 19 + 19 = 53 + 19
36x = 72

b) Next, isolate the variable x by dividing both sides of the equation by 36:
36x/36 = 72/36
x = 2

Therefore, Stacia bought 2 concert tickets.

2. Addition Method:

a) Begin by isolating the term with the variable x by adding 19 to both sides of the equation:
36x = 53 + 19
36x = 72

b) Next, isolate the variable x by multiplying both sides of the equation by 1/36:
(1/36) * 36x = 72 * (1/36)
x = 2

Again, this gives us the result that Stacia bought 2 concert tickets.

In both solution methods, the operations performed were addition, subtraction, multiplication, and division.