1. (3x-2)/4+1=5
2. (3x-2)/4+1-1=5-1
3. (3x-2)/4=4
4. (3x-2)/4+2=4+2
5. this is the mistake, wecan't just add them because the fractions aren't the same
(3x-2)/4 plus 2/1, the bottom numbers areen't the same
what should be done is go back to step 4 and mltiply both sides by 4, don't add 2
results in
5. 3x-2=16
6. 3x=18
7. x=6
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
Im assuming the question is asking: if she collected $22 in sales tax what was the cost of the items her store sold. you should make sure you type the question correctly otherwise it'll be hard to answer.
going with my assumption of what the question is, we want to find the total cost of all items her story sold. let that cost be c. since there is 5% sales tax on everything and we know the sales tax is worth $22,m we have:
5%(c) = 22
dividing both sides by 5% (or .05) gives:
c = $440
It would be 8 to the 8th power
