Question

solve by using inverse opertaions show all steps for getting the varibale by itself then check you answer by plugging it back into the oringal equation show all steps y/2 + 22=28

Answer 1

you and three friends each get a admission ticket to the tow carinval you have a coupon of 20$ off that will save money for ur group if the total bill was 100$ how much does the admission ticket cost

Answer 2

ben is solving 5x-1=19 he says first he will subract 1 from bith sides the multiply both sides by 5 explan bens error and solve for the correct answer for x show full work

Answer 3

To solve the equation y/2 + 22 = 28, we want to isolate the variable y.

1. Start by subtracting 22 from both sides of the equation:
(y/2) + 22 - 22 = 28 - 22
y/2 = 6

2. To get rid of the division by 2, we need to multiply both sides of the equation by 2:
2*(y/2) = 6 * 2
y = 12

Therefore, the solution is y = 12.

To check our answer, we substitute y = 12 into the original equation:

(y/2) + 22 = 28
(12/2) + 22 = 28
6 + 22 = 28
28 = 28

Since both sides of the equation are equal, we can conclude that the solution y = 12 is correct.

Answer 4

If the total bill for admission tickets is $100 and you have a coupon that saves $20 off, we can find the cost of each admission ticket by subtracting the coupon amount from the total bill and then dividing by the number of tickets (in this case, four friends).

Step 1: Subtract the coupon amount from the total bill:
$100 - $20 = $80

Step 2: Divide the remaining amount by the number of tickets:
$80 / 4 = $20

The admission ticket costs $20 each.

Alternatively, you can also calculate the cost of each admission ticket by dividing the total bill by the number of tickets and then subtracting the coupon amount:

Step 1: Divide the total bill by the number of tickets:
$100 / 4 = $25

Step 2: Subtract the coupon amount from the result:
$25 - $5 = $20

Again, the admission ticket costs $20 each.

Answer 5

Ben's mistake lies in the order of operations. Let's go through the correct steps to solve the equation 5x - 1 = 19:

Step 1: Add 1 to both sides of the equation to isolate the term with the variable:
5x - 1 + 1 = 19 + 1
5x = 20

Step 2: Divide both sides of the equation by 5 to solve for x:
(5x)/5 = 20/5
x = 4

Hence, the correct solution for the equation 5x - 1 = 19 is x = 4.