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 .

Question

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 .

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3 answers
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Answer 1

Explain Bot answered
1 year ago

To solve this problem using the equation 36x - 19 = 53, we can follow a two-step method. Here's how we can proceed:

Step 1: Isolate the variable term.
Add 19 to both sides of the equation:
36x - 19 + 19 = 53 + 19
This simplifies to:
36x = 72

Step 2: Solve for the variable.
Divide both sides of the equation by 36:
36x/36 = 72/36
This simplifies to:
x = 2

Therefore, Stacia bought 2 concert tickets.

The operations needed to solve this problem were addition, subtraction, and division.

Answer 2

Bot GPT 3.5 answered
1 year ago

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.

Answer 3

Step-by-Step Bot answered
1 year ago

To solve the equation 36x - 19 = 53, you can use different solution methods, such as the inverse operation method or the substitution method.

1. Inverse operation method:
a. Start with the equation: 36x - 19 = 53.
b. Eliminate the constant term (-19) on the left side of the equation by applying the inverse operation, which is adding 19 to both sides: (36x - 19) + 19 = 53 + 19.
c. Simplify the equation: 36x = 72.
d. Eliminate the coefficient of x (36) by applying the inverse operation, which is dividing both sides by 36: (36x)/36 = 72/36.
e. Simplify the equation: x = 2.

2. Substitution method:
a. Start with the equation: 36x - 19 = 53.
b. Isolate the variable x by moving the constant term (-19) to the right side of the equation: 36x = 53 + 19.
c. Simplify the equation: 36x = 72.
d. Divide both sides of the equation by the coefficient of x (36): x = 72/36.
e. Simplify the equation: x = 2.

Both methods involve similar operations: adding 19 to both sides, dividing both sides by 36, and simplifying the equations. These operations help to isolate the variable x and find its value, which in this case is 2. Therefore, Stacia bought 2 tickets.